The Valuation Theory Home Page

Preprints

(ordered alphabetically by author name)


Shreeram S. Abhyankar:
Two step descent in modular Galois theory, theorems of Burnside and Cayley, and Hilbert's thirteenth problem
(dvi file) --- (postscript file)

Kamal Aghigh and Sudesh K. Khanduja:
A Note on Tame Fields
(dvi file) --- (postscript file)

Kamal Aghigh and Sudesh K. Khanduja:
On the main invariant of elements algebraic over a henselian valued field
(postscript file)

Kamal Aghigh, Anuj Bishnoi, Sanjeev Kumar and Sudesh Kaur Khanduja:
A study of irreducible polynomials over henselian valued fields via distinguished pairs
(pdf file)

S. Akbari and M. Mahdavi-Hezavehi:
Valuations and maximal subgroups of D*
(dvi file) --- (postscript file)

Maria Alberich-Carramiñana, Alberto F. Boix, Julio Fernández, Jordi Guàrdia, Enric Nart and Joaquim Roé:
Invariants of limit key polynomials
(pdf file)

M. Alberich-Carramiñana, J. Guàrdia, E. Nart and J. Roé:
Valuative trees over valued fields
(arXiv)

M. Alberich-Carramiñana, J. Guàrdia, E. Nart and J. Roé:
Valuations with infinite limit-depth
(arXiv)

M. Alberich-Carramiñana, J. Guàrdia, E.Nart, A. Poteaux, J. Roé and M. Weimann:
Polynomial factorization over henselian fields
(arXiv)

Mari-Emi Alonso and Henri Lombardi:
Generalized Taylor formulas, computations in real closed valued fields and quantifier elimination
(dvi file) --- (postscript file)

Benjamin Antieau and Rankeya Datta:
Valuation rings are derived splinters
(arXiv)

Sylvy Anscombe and Franziska Jahnke:
Henselianity in the language of ring
(arXiv)

Sylvy Anscombe, Philip Dittmann and Arno Fehm:
Approximation Theorems for Spaces of Localities
(pdf file)

Sylvy Anscombe, Philip Dittmann and Arno Fehm:
Axiomatizing the existential theory of Fq((t))
(arXiv)

Fuensanta Aroca:
Krull--Tropical Hypersurfaces
(pdf file)

Matthias Aschenbrenner:
Some Remarks About Asymptotic Couples
(dvi file) --- (postscript file)

Matthias Aschenbrenner and Lou van den Dries:
Liouville closed H-fields
(dvi file) --- (postscript file) --- (pdf file)

Matthias Aschenbrenner and Lou van den Dries:
Closed Asymptotic Couples
(postscript file)

Matthias Aschenbrenner and Lou van den Dries:
H-Fields and Their Liouville Extensions
(dvi file) --- (postscript file)

Roland Auer:
Curves over finite fields with many points obtained by ray class field extensions
(dvi file) --- (postscript file)

Salih Azgin, Franz-Viktor Kuhlmann and Florian Pop:
Characterization of Extremal Valued Fields
(pdf file)

Cornel Baetica and Freddy van Oystaeyen:
Unramified Reductors of Filtered and Graded Algebras
(pdf file)

René Bartsch, Franz-Viktor Kuhlmann and Katarzyna Kuhlmann:
Construction of ball spaces and the notion of continuity
(pdf file)

Serban Basarab:
The arithmetic-arboreal structure of a Pruefer domain I
(dvi file) --- (postscript file)

Eberhard Becker, Katarzyna and Franz-Viktor Kuhlmann:
Density of Composite places in Function Fields and Application to Real Holomorphy Rings
(pdf file)

Luc Bélair, Angus Macintyre and Thomas Scanlon:
Model Theory of Frobenius on Witt Vectors
(pdf file)

Andrei Bengus-Lasnier:
Minimal Pairs, Truncations and Diskoids
(arXiv)

Saurabh Bhatia and Sudesh K. Khanduja:
Difference polynomials and their generalizations
(postscript file)
Abstract: (postscript file)

Saurabh Bhatia and Sudesh K. Khanduja:
A characterization of Krasner's constant
(dvi file) --- (postscript file)

Darko Biljakovic, Mikhail Kochetov and Salma Kuhlmann:
Primes and irreducibles in truncation integer parts of real closed fields
(dvi file) --- (postscript file) --- (pdf file)

Anuj Bishoi and Sudesh K. Khanduja:
On Eisenstein--Dumas and generalized Sch\"onemann polynomials
(pdf file)

Anuj Bishnoi and Sudesh K. Khanduja:
A class of trinomials with Galois group Sn
(pdf file)

Anuj Bishnoi and Sudesh K. Khanduja:
On algebraically maximal valued fields and defectless extensions
(pdf file)

Anna Blaszczok:
Infinite towers of Artin-Schreier defect extensions of rational function fields
(pdf file)

Anna Blaszczok and Franz-Viktor Kuhlmann:
Algebraic independence of elements in immediate extensions of valued fields
(pdf file)

Anna Blaszczok and Franz-Viktor Kuhlmann:
On maximal immediate extensions of valued fields
(pdf file)

Anna Blaszczok and Franz-Viktor Kuhlmann:
Counting the number of distinct distances of elements in valued field extensions
(pdf file)

Anna Blaszczok and Franz-Viktor Kuhlmann:
Deeply ramified fields, semitame fields, and the classification of defect extensions
(pdf file)

Piotr Błaszkiewicz, Hanna Ćmiel, Alessandro Linzi and Piotr Szewczyk:
Caristi-Kirk and Oettli-Théra ball spaces, and applications
(pdf file)

David Bradley-Williams and Immanuel Halupczok:
Spherically complete models of Hensel minimal valued fields
(arXiv)

David Bradley-Williams and Immanuel Halupczok:
Riso-stratifications and a tree invariant
(arXiv)

David Brink:
New Light on Hensel's Lemma
(pdf file)

Ron Brown:
Roots of Generalized Sch\"onemann Polynomials in Henselian Extension Fields
(pdf file)

Ron Brown:
Roots of Irreducible Polynomials in Tame Henselian Extension Fields
(pdf file)

Ron Brown and Jon Merzel:
The space of real places on R(x,y)
(pdf file)

Ron Brown and Jon Merzel:
The space of R-places on a rational function field
(pdf file)

H. H. Brungs, H. Marubayashi and E. Osmanagic:
Prime segments for cones and rings
(dvi file) --- (postscript file)

Hans-Heinrich Brungs and Guenter Toerner:
Left valuation rings, left cones, and a question of Frege's
(dvi file) --- (postscript file)

Alberto Camara:
Locally convex structures on higher local fields
(arXive)

Alberto Camara:
Functional analysis on two-dimensional local fields
(arXive)

Alberto Camara:
Topology on rational points over higher local fields
(arXive)

Antonio Campillo and Carlos Galindo:
Syzygies of the Graded Algebra Relative to a Valuation
(dvi file) --- (postscript file)

Antonio Campillo and Santiago Encinas:
Complete ideals and bivariate Hermite interpolation
(dvi file) --- (postscript file)

Pierrette Cassou-Nogues and Anatoly Libgober:
Multivariable Hodge theoretical invariants of germs of plane curves. II
(pdf file)

Ivan Chipchakov:
Demushkin groups and inverse Galois theory for pro-p-groups of finite rank and maximal p-extensions
(pdf file)

Ivan Chipchakov:
On Brauer p-dimensions and index-exponent relations over finitely-generated field extensions
(pdf file)

Ivan Chipchakov:
On the behaviour of Brauer p-dimensions under finitely-generated field extensions
(pdf file)

Ivan Chipchakov:
On the Brauer p-dimensions of Henselian discrete valued fields of residual characteristic p > 0
(pdf file)

Jakob Cimpric:
Valuation theory of higher level *-signatures
(postscript file) --- (pdf file)

Jakob Cimpric:
Real spectra of quantum groups
(postscript file) --- (pdf file)

Jakob Cimpric:
Free skew fields have many *-orderings
(postscript file) --- (pdf file)

Raf Cluckers:
Classification of semi-algebraic p-adic sets up to semi-algebraic bijection
(dvi file) --- (postscript file)

Raf Cluckers and Immanuel Halupczok:
Approximations and Lipschitz continuity in p-adic semi-algebraic and subanalytic geometry
(arXiv)

Raf Cluckers, Immanuel Halupczok and Silvain Rideau-Kikuchi:
Hensel minimality
(arXiv)

Raf Cluckers and Francois Loeser:
b-Minimality
(pdf file)

Hanna Ćmiel, Franz-Viktor Kuhlmann and Katarzyna Kuhlmann:
A generic approach to measuring the strength of completeness/compactness of various types of spaces and ordered structures
(pdf file of extended version)

Vincent Cossart, Mickael Matusinski and Guillermo Moreno-Socias:
Existence des diviseurs dicritiques, d'apres S.S. Abhyankar
(pdf file)

Vincent Cossart and Guillermo Moreno-Socias:
Irreducibility Criterion: a geometric point of view
(dvi file) --- (postscript file)

V. Cossart, O. Piltant and A. J. Reguera-Lopez:
Divisorial valuations on rational surface singularities
(dvi file) --- (postscript file)

Tom Craven:
*-valuations and Hermitian forms on skew fields
(dvi file) --- (postscript file)

Thomas Craven and Tara Smith:
Ordered *-rings
(pdf file)

Thomas Craven and Tara Smith:
Semiorderings and Witt rings
(dvi file) --- (pdf file)

Pablo Cubides Kovacsics:
An introduction to C-minimal structures and their cell decomposition theorem
(pdf file)

Pablo Cubides Kovacsics, Franz-Viktor Kuhlmann and Anna Rzepka (formerly Blaszczok):
On valuation independence and defectless extensions of valued fields
(pdf file)

Steven Dale Cutkosky:
Resolution of morphisms
(dvi file) --- (postscript file)

Steven Dale Cutkosky:
Monomialization of morphisms from 3 folds to surfaces
(dvi file) --- (postscript file)

Steven Dale Cutkosky:
Generically finite morphisms
(dvi file) --- (postscript file)

Steven Dale Cutkosky:
Completions of valuation rings
(dvi file) --- (postscript file) --- (pdf file)

Steven Dale Cutkosky:
Monomialization of transcendental extensions
(dvi file) --- (postscript file) --- (pdf file)

Steven Dale Cutkosky:
Local monomialization and Factorization of Morphisms
(dvi file) --- (postscript file) --- (pdf file)

Steven Dale Cutkosky:
Valuation semigroups of Noetherian local domains
(pdf file)

Steven Dale Cutkosky:
Ramification of valuations and local rings in positive characteristic
(pdf file)

Steven Dale Cutkosky:
Counterexamples to local monomialization in positive characteristic
(pdf file)

Steven Dale Cutkosky:
The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation
(pdf file)

Steven Dale Cutkosky:
A generalization of the Abhyankar Jung Theorem to associated graded rings of valuations
(pdf file)

Steven Dale Cutkosky and Hussein Mourtada:
Defect and local uniformization
(pdf file)

Steven Dale Cutkosky and Josnei Antonio Novacoski:
Essentially finite generation of valuation rings in terms of classical invariants
(pdf file)

Steven Dale Cutkosky and Olivier Piltant:
Ramification of valuations
(dvi file) --- (postscript file) --- (pdf file)

Steven Dale Cutkosky and Pham An Vinh:
Valuation semigroups of two dimensional local rings
(pdf file)

Steven Dale Cutkosky and Bernard Teissier:
Semigroups of Valuations on Local Rings, II
(pdf file)

Steven Dale Cutkosky and Bernard Teissier:
Semigroups of Valuations on Local Rings
(pdf file)

Luck Darniere and Immanuel Halupczok:
Cell decomposition and classification of definable sets in p-optimal fields
(arXiv)

Rankeya Datta and Takumi Murayama:
Tate algebras and Frobenius non-splitting of excellent regular rings
(arXiv)

Julie Decaup, Mark Spivakovsky and Wael Mahboub:
Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane - Vaquie
(arXiv)

Claudia Degroote and Jeroen Demeyer:
Hilbert's Tenth Problem for rational function fields over p-adic fields
(arXive)

Michael De Moraes and Josnei Antonio Novacoski:
Perron transforms and Hironaka's game
(pdf file)

Jan Denef and Hans Schoutens:
On the Decidability of the Existential Theory of Fp[[t]]
(dvi file) --- (postscript file)

Jan Dobrowolski and Franz-Viktor Kuhlmann:
Valuation theory, generalized IFS attractors and fractals
(arXiv)

Lou van den Dries:
On finite inertial extensions of a valued field
(a note concerning problem 7 on our Problem Page)
(postscript file) --- (pdf file)

Lou van den Dries:
On the elementary theory of rings of Witt vectors with multiplicative set of representatives for the residue field
(postscript file)

Lou van den Dries:
Truncation in Hahn fields
(pdf file)

Lou van den Dries and Franz-Viktor Kuhlmann:
Images of additive polynomials in Fq((t)) have the optimal approximation property
(dvi file) --- (postscript file)

Lou van den Dries, Angus Macintyre and David Marker:
Logarithmic-Exponential Series
(postscript file)

Lou van den Dries and Nigel Pynn-Coates:
On the uniqueness of maximal immediate extensions of valued differential fields
(arXiv)

Lou van den Dries and Patrick Speissegger:
The Field of Reals with Multisummable Series and the Exponential Function
(postscript file)

Salih Durhan (formerly Azgin):
Additive Polynomials over Perfect Fields
(pdf file)

Salih Durhan and Gönenç Onay:
Quantifier Elimination for Valued Fields Equipped with an Automorphism
(arXiv)

Arpan Dutta:
Minimal pairs, minimal fields and implicit constant fields
(pdf file)

Arpan Dutta and Franz-Viktor Kuhlmann:
Eliminating Tame Ramification: generalizations of Abhyankar's Lemma
(pdf file)

Arpan Dutta and Franz-Viktor Kuhlmann:
Tame Key polynomials
(pdf file)

C. F. Ealy and Jana Marikova:
Model completeness of o-minimal fields with convex valuations
(arXiv)

C. F. Ealy, Deirdre Haskell and Jana Marikova:
Residue field domination in real closed valued fields
(arXiv)

Ido Efrat:
Quotients of Milnor K-rings, orderings, and valuations
(postscript file) --- (pdf file)

Ido Efrat:
Finitely generated pro-p Galois groups of p-henselian fields
(dvi file) --- [Abstract]

Lawrence Ein, Robert Lazarsfeld and Karen E. Smith:
Uniform approximation of Abhyankar valuation ideals in smooth function fields
(dvi file) --- (postscript file)

Charles Favre and Mattias Jonsson:
Valuative analysis of planar pluri-subharmonic functions
(postscript file) --- (pdf file)

Charles Favre and Mattias Jonsson:
Valuations and multiplier ideals
(postscript file) --- (pdf file)

Charles Favre and Mattias Jonsson:
The valuative tree
(postscript file) --- (pdf file)

C. Favre, S. Boucksom and M. Jonsson:
A refinement of Izumi's theorem
(arXive)

Arno Fehm and Lior Bary-Soroker:
On Fields of Totally S-adic Numbers
(pdf file)

Arno Fehm and Franziska Jahnke:
Recent Progress on Definability of Henselian Valuation
(arXiv)

Arno Fehm and Franziska Jahnke:
On the quantifier complexity of definable canonical henselian valuations
(arXiv)

Joseph Flenner:
Relative decidability and definability in henselian valued fields
(pdf file)

Antongiulio Fornasiero:
Embedding Henselian fields in power series
(dvi file) --- (postscript file) --- (pdf file)

Antongiulio Fornasiero, Franz-Viktor Kuhlmann and Salma Kuhlmann:
Towers of complements to valuation rings and truncation closed embeddings of valued fields
(pdf file)

Pedro Fortuny Ayuso:
The Valuative Theory of Foliations
(postscript file)

Wenfeng Gao, David B. Leep, Jan Minac and Tara L. Smith:
Galois groups over nonrigid fields
(dvi file) --- (postscript file)

Tim Gardener and Hans Schoutens:
Rigid subanalytic sets
(dvi file) --- (postscript file)

Laura Ghezzi and Olga Kashcheyeva:
Toroidalization of generating sequences in dimension two function fields of positive characteristic
(pdf file)

Laura Ghezzi, H.T. Ha and Olga Kashcheyeva:
Toroidalization of generating sequences in dimension two function fields
(pdf file)

Michele Giraudet, Franz-Viktor Kuhlmann and Gerard Leloup:
Formal power series with cyclically ordered exponents
(dvi file) --- (postscript file) --- (pdf file)

Danielle Gondard:
On R-places and related topics
(pdf file)

Danielle Gondard and Murray Marshall:
Real holomorphy rings and the complete real spectrum
(pdf file)

Joachim Graeter:
Dubrovin valuation rings and orders in central simple algebras
(dvi file) --- (postscript file)

Barry Green:
Automorphisms of formal power series rings over a valuation ring
(dvi file) --- (postscript file)

Helen G. Grundmann and Tara Smith:
Q-adequate bicyclic bicubic fields
(dvi file) --- (postscript file)

Yatir Halevi and Assaf Hasson:
Eliminating Field Quantifiers in Algebraically Maximal Kaplansky Fields
(arXiv)

Yatir Halevi and Assaf Hasson:
Strongly Dependent Ordered Abelian Groups and Henselian Fields
(arXiv)

Yatir Halevi:
On Stably Pointed Varieties and Generically Stable Groups in ACVF
(arXiv)

Immanuel Halupczok:
Stratifications in valued fields
(pdf file)

Immanuel Halupczok and Franziska Jahnke:
A definable henselian valuation with high quantifier complexity
(arXiv)

David Harbater and Marius van der Put:
Valued fields and covers in characteristic p
with appendix Supplements in p' by quasi p-groups by Robert Guralnick
(dvi file) --- (postscript file)

Urs T. Hartl:
Line Bundles on Rigid Analytic Spaces
(dvi file) --- (postscript file)

Deirdre Haskell, Ehud Hrushovski and Dugald Macpherson:
Definable sets in algebraically closed valued fields. Part I: elimination of imaginaries
(dvi file) --- (postscript file)

Roozbeh Hazrat:
Wedderburn's Factorization Theorem, Application to Reduced K-Theory
(dvi file) --- (postscript file)

Roozbeh Hazrat:
SK1-like functors for division algebras
(dvi file) --- (postscript file)

William Heinzer, Christel Rotthaus and Sylvia Wiegand:
Approximating discrete valuation rings by regular local rings - A remark on local uniformization
(dvi file) --- (postscript file)

F. J. Herrera Govantes, Miguel Olalla Acosta, Mark Spivakovsky and Bernard Teissier:
Extending valuations to formal completions
(pdf file)

F. J. Herrera Govantes, Miguel Olalla Acosta, Mark Spivakovsky and Bernard Teissier:
Extending a valuation centered in a local domain to the formal completion
(pdf file)

F.J. Herrera Govantes, W. Mahboub, M.A. Olalla Acosta and M. Spivakovsky:
Key polynomials for simple extensions of valued fields
(arXiv)

Immanuel Halupczok and Yimu Yin:
Lipschitz stratifications in power-bounded o-minimal fields
(arXiv)

Immanuel Halupczok:
Non-Archimedean Whitney stratifications
(arXiv)

Immanuel Halupczok:
Trees of definable sets in Z_p
(pdf file)

Immanuel Halupczok:
Trees of definable sets over the p-adics
(arXiv)

Pascal Hitzler and Tony Seda:
The Fixed-Point Theorems of Priess-Crampe and Ribenboim in Computational Logic
(dvi file) --- (postscript file)

Charles W. Holland, Salma Kuhlmann and Stephen McCleary:
Lexicographic exponentiation of chains
(dvi file) --- (postscript file) --- (pdf file) Franziska Jahnke:
When does NIP transfer from fields to henselian expansions?
(arXiv)

Franziska Jahnke and Immanuel Halupczok:
A definable henselian valuation with high quantifier complexity
(arXiv)

Franziska Jahnke and Jochen Koenigsmann:
Defining coarsenings of valuations
(arXiv)

Franziska Jahnke and Jochen Koenigsmann:
Uniformly defining p-henselian valuations
(arXiv)

Franziska Jahnke and Jochen Koenigsmann:
Definable henselian valuation
(arXiv)

Franziska Jahnke and Pierre Simon:
NIP henselian valued fields
(arXiv)

Franziska Jahnke, Pierre Simon and Erik Walsberg:
Dp-minimal valued fields
(arXiv)

Anuj Jakhar and Srinivas Kotyada:
On the irreducible factors of a polynomial II
(pdf file)

Franz Bernhard Kalhoff:
A Note on the Place Topology of Projective Planes
[abstract]

Franz Bernhard Kalhoff:
On Epimorphisms and Projectivities of Projective Planes
[abstract]

Itay Kaplan, Thomas Scanlon and Frank Wagner:
Artin--Schreier extensions in dependent and simple fields
(pdf file)

Kiran S. Kedlaya:
Finite automata and algebraic generalized power series
(pdf file)

Kiran S. Kedlaya:
The p-adic local monodromy theorem for fake annuli
(pdf file)

Kiran S. Kedlaya:
Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach
(pdf file)

Kiran S. Kedlaya:
Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations
(pdf file)

Adel Khalfallah:
New non-standard topologies
(pdf file)

Adel Khalfallah and Siegmund Kosarew:
Complex spaces and nonstandard schemes
(pdf file)

Adel Khalfallah and Siegmund Kosarew:
On boundedness and completion in Nonstandard Analysis
(pdf file)

Sudesh K. Khanduja:
The minimum property for Krasner's constant
(dvi file) --- (postscript file)

Sudesh K. Khanduja:
On Brown's constant associated with irreducible polynomials over henselian valued fields
(pdf file)

Sudesh K. Khanduja and Ramneek Khassa:
On invariants and strict systems of irreducible polynomials over henselian valued fields
(pdf file)

Sudesh K. Khanduja and Ramneek Khassa:
A generalization of Eisenstein-Schönemann Irreducibility Criterion
(pdf file)

Sudesh K. Khanduja and Ramneek Khassa:
A generalization of Eisenstein-Schönemann Irreducibility Criterion
(pdf file)

Sudesh K. Khanduja and Ramneek Khassa:
Subfields of henselian valued fields
(pdf file)

Sudesh K. Khanduja, Ramneek Khassa and Shanta Laishram:
Some irreducibility results for truncated binomial expansions
(pdf file)

Sudesh K. Khanduja and Sanjeev Kumar:
On irreducible factors of polynomials over complete fields
(pdf file)

Hagen Knaf:
Regular local algebras over a Prüfer domain: weak dimension and regular sequences
(postscript file) --- (pdf file)

Hagen Knaf:
Divisors on varieties over valuation domains
appeared in the Israel Journal of Mathematics 119 (2000)
Abstract (postscript file)

Hagen Knaf:
Regular curves over Pruefer domains
(dvi file) --- (postscript file)

Hagen Knaf:
Chains of prime ideals in flat algebras over Prüfer domains (An addendum to an article of M. Nagata)
(dvi file) --- (postscript file) --- (pdf file)

Hagen Knaf:
On the projectivity of proper normal curves over valuation domains
(pdf file)

Hagen Knaf and Franz-Viktor Kuhlmann:
Abhyankar places admit local uniformization in any characteristic
(dvi file) --- (postscript file) --- (pdf file)

Hagen Knaf and Franz-Viktor Kuhlmann:
Every place admits local uniformization in a finite extension of the function field
(postscript file) --- (pdf file)

Jochen Koenigsmann:
Products of absolute Galois groups
(dvi file) --- (postscript file) --- (pdf file)

Jochen Koenigsmann:
Projective extensions of fields
(dvi file) --- (postscript file) --- (pdf file)

Jochen Koenigsmann:
Elementary characterization of fields by their absolute Galois groups
(dvi file) --- (postscript file)

Jochen Koenigsmann:
Relatively projective groups as absolute Galois groups
(dvi file) --- (postscript file)

Jochen Koenigsmann:
Encoding valuations in absolute Galois groups
(dvi file) --- (postscript file)

Wieslaw Kubis and Franz-Viktor Kuhlmann:
Chain intersection closures
(pdf file)

Wieslaw Kubiś and Franz-Viktor Kuhlmann:
Chain union closures
(pdf file)

Franz-Viktor Kuhlmann:
The defect
(pdf file)

Franz-Viktor Kuhlmann:
Elimination of Ramification I: The Generalized Stability Theorem
(dvi file) --- (postscript file) --- (pdf file)

Franz-Viktor Kuhlmann:
A classification of Artin Schreier defect extensions and a characterization of defectless fields
Original version: (pdf file) --- Corrected version: (pdf file)

Franz-Viktor Kuhlmann:
Dense subfields of henselian fields, and integer parts
(dvi file) --- (postscript file) --- (pdf file)

Franz-Viktor Kuhlmann:
Additive Polynomials and Their Role in the Model Theory of Valued Fields
(dvi file) --- (postscript file) --- (pdf file)

Franz-Viktor Kuhlmann:
A correction to Epp's paper ``Elimination of wild ramification''
(dvi file) --- (postscript file) --- (pdf file)

Franz-Viktor Kuhlmann:
Places of algebraic function fields in arbitrary characteristic
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann:
Maps on ultrametric spaces, Hensel's Lemma, and differential equations over valued fields
(new and extended version of A theorem about maps on spherically complete ultrametric spaces, and its applications)
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann:
A theorem about maps on spherically complete ultrametric spaces, and its applications
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann:
On local uniformization in arbitrary characteristic I
(postscript file) --- [Abstract]

Franz-Viktor Kuhlmann:
Elementary properties of power series fields over finite fields
(postscript file) --- [Abstract]

Franz-Viktor Kuhlmann:
Value groups, residue fields and bad places of rational function fields
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann:
Invariance group and invariance valuation ring of a cut
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann:
The algebra and model theory of tame valued fields
(pdf file)

Franz-Viktor Kuhlmann:
Notes on extremal and tame valued fields
(pdf file)

Franz-Viktor Kuhlmann:
Notes on selected methods for the classification of cuts and their applications
(pdf file)

Franz-Viktor Kuhlmann:
Elimination of Ramification II: Henselian Rationality
(pdf file)

Franz-Viktor Kuhlmann:
Valued fields with finitely many Artin Schreier defect extensions
(pdf file)

Franz-Viktor Kuhlmann:
Approximation types describing extensions of valuations to rational function fields
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann:
Structure and embedding theorems for spaces of R-places of rational function fields and their products
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann:
Embedding theorems for spaces of R-places of rational function fields and their products
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann:
A common generalization of metric, ultrametric and topological fixed point theorems
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann:
Fixed point theorems for spaces with a transitive relation
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann, Matthias Paulsen:
The Caristi-Kirk Fixed Point Theorem from the point of view of ball spaces
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann, Fatma Sonaallah:
Coincidence Point Theorems for Ball Spaces and Their Applications
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann, Saharon Shelah:
Symmetrically Complete Ordered Sets, Abelian Groups and Fields
(pdf file)

Katarzyna and Franz-Viktor Kuhlmann, Catalina Visan:
Valuations on rational function fields that are invariant under permutation of the variables
(pdf file)

Franz-Viktor Kuhlmann and Salma Kuhlmann:
Valuation theory of exponential Hardy fields
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann and Salma Kuhlmann:
Valuation theory of exponential Hardy fields I
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann and Salma Kuhlmann:
Valuation theory of exponential Hardy fields II: Principal parts of germs in the Hardy field of o-minimal exponential expansions of the reals
(pdf file)

Franz-Viktor Kuhlmann, Salma Kuhlmann and Jonathan W. Lee:
Valuation bases for generalized algebraic series fields
(pdf file)

Franz-Viktor Kuhlmann, Salma Kuhlmann and Saharon Shelah:
Functorial Equations for Lexicographic Products
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann, Salma Kuhlmann, Murray Marshall and Mahdi Zekavat:
Embedding ordered fields in formal power series fields
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann and Henri Lombardi:
Construction du henselise d'un corps value
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann, Henri Lombardi and Herve Perdry:
Dynamic computations inside the algebraic closure of a valued field
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann, Michal Machura and Katarzyna Osiak:
Metrizability of spaces of R-places of function fields of transcendence degree 1 over real closed fields
(pdf file)

Franz-Viktor Kuhlmann and Enric Nart:
Cuts and small extensions of abelian ordered groups
(pdf file)

Franz-Viktor Kuhlmann and Asim Naseem:
Defects of Algebraic Function Fields, Completion Defects and Defect Quotients
(pdf file)

Franz-Viktor Kuhlmann and Josnei Novacoski:
Henselian Elements
(pdf file)

Franz-Viktor Kuhlmann and Peter Roquette:
Abhyankar places admit local uniformization in any characteristic
(dvi file) --- (postscript file)

Franz-Viktor Kuhlmann and Izabela Vlahu:
The relative approximation degree in valued function fields
(pdf file)

Katarzyna Kuhlmann:
The structure of spaces of $\R$-places of rational function fields over real closed fields
(pdf file)

Katarzyna Kuhlmann and Przemyslaw Koprowski:
Places, cuts and orderings of function fields
(pdf file)

Salma Kuhlmann and Saharon Shelah:
$\kappa$-bounded Exponential-Logarithmic Power Series Fields
(dvi file) --- (postscript file) --- (pdf file)

Munish Kumar and Sudesh K. Khanduja:
A formula for Tignol's constant
(pdf file)

Munish Kumar and Sudesh K. Khanduja:
A Generaization of Dedekind Criterion
(pdf file)

Munish Kumar and Sudesh K. Khanduja:
On a Theorem of Dedekind
(pdf file)

Jungkuk Lee and Wan Lee:
On the structure of certain valued fields
(pdf file)

Gérard Leloup:
Existentially equivalent cyclic ultrametric spaces and cyclically valued groups
(pdf file)

Gérard Leloup:
Preorders, rings, lattice-ordered groups and formal power series
(dvi file) --- (postscript file)

Gérard Leloup:
Key polynomials, separate and immediate valuations, and simple extensions of valued fields
(arXiv)

Henri Lombardi:
About Merckel's lemma
(dvi file) --- (postscript file)

Henri Lombardi, Peter Schuster and Ihsen Yengui:
The Gröbner Ring Conjecture in One Variable
(pdf file)

Falko Lorenz and Peter Roquette:
On the Theorem of Grunwald-Wang in the setting of Valuation Theory
(dvi file) --- (postscript file)

Wael Mahboub:
Key Polynomials
(arXiv)

Jana Marikova:
O-minimal residue fields of o-minimal fields
(arXiv)

Murray Marshall:
*-orderings on a ring with involution
(postscript file)

Murray Marshall:
A real holomorphy ring without the Schmuedgen property
(postscript file)

Murray Marshall and Yufie Zhang:
Real places and valuations on noncommutative integral domains
(postscript file)

Mickael Matusinski:
On generalized series fields and exponential-logarithmic series fields with derivations
(pdf file)

Ruth I. Michler:
Invariants of Singular Plane Curves
(dvi file) --- (postscript file)

Mohammad Moghaddam:
On Izumi's Theorem on the comparison of valuations
(pdf file)

Samiha Monceur and Ihsen Yengui:
On the leading terms ideals of polynomial ideals over a valuation ring
(ScienceDirect)

Pinaki Mondal:
Projective completions of affine varieties via degree-like functions
(pdf file)

Pinaki Mondal:
How to determine the sign of a valuation on C[x, y]?
(pdf file)

Pinaki Mondal:
Mori dream surfaces associated with curves with one place at infinity
(pdf file)

Nathália Moraes de Oliveira and Enric Nart:
Computation of residual polynomial operators of inductive valuations
(arXiv)

Laurent Moret-Bailly:
An extension of Greenberg's theorem to general valuation rings
(pdf file)

Laurent Moret-Bailly:
Un theoreme de l'application ouverte sur les corps values algebriquement clos
(pdf file)

Edward Mosteig:
Value Monoids of Zero-Dimensional Valuations of Rank One
(pdf file)

Edward Mosteig:
Computing Leading Exponents of Noetherian Power Series
(dvi file) --- (pdf file)

Ed Mosteig:
Well-Ordered Valuations on Rational Function Fields in Two Variables
(arXiv)

Edward Mosteig and Moss Sweedler:
Valuations and Filtrations
(dvi file) --- (pdf file)

Edward Mosteig and Moss Sweedler:
Well-ordered valuations on characteristic zero rational function fields of transcendence degree two
(dvi file) --- (pdf file)

Hussein Mourtada:
Jet schemes of rational double point singularities
(pdf file)

Enric Nart:
MacLane-Vaquié chains of valuations on a polynomial ring
(arXiv)

Enric Nart:
Small extensions of abelian ordered groups
(arXiv)

E. Nart:
Rigidity of valuative trees under henselization
(arXiv)

E. Nart and J. Novacoski:
The defect formula
(arXiv)

E. Nart and J. Novacoski:
Geometric parametrization of valuations on a polynomial ring
(arXiv)

Josnei Antonio Novacoski:
Valuations centered at a two-dimensional regular local ring: Infima and Topologies
(pdf file)

Josnei Antonio Novacoski:
Topologies on Spaces of Valuations: a Closeness Criterion
(pdf file)

Josnei Antonio Novacoski:
The Scott Topology of a Rooted Non-metric Tree
(pdf file)

Josnei Antonio Novacoski:
Key Polynomials and Minimal Pairs
(pdf file)

Josnei Antonio Novacoski:
Extensions of a valuation from K to K[x]
(pdf file)

Josnei Antonio Novacoski and Mark Spivakovsky:
Reduction of Local Uniformization to the Rank One Case
(pdf file)

Josnei Antonio Novacoski and Mark Spivakovsky:
On the Local Uniformization Problem
(pdf file)

Josnei Antonio Novacoski and Mark Spivakovsky:
Reduction of Local Uniformization to the Case of Rank One Valuations for Rings with Zero Divisors
(pdf file)

Josnei Antonio Novacoski and Mark Spivakovsky:
Key polynomials and pseudo-convergent sequences
(arXiv)

Krzysztof Nowak:
Piecewise continuity of functions definable over Henselian rank one valued fields
(arXiv)

Krzysztof Nowak:
On functions given by algebraic power series over Henselian valued fields
(arXiv)

Krzysztof Nowak:
Hölder and Lipschitz continuity of functions definable over Henselian rank one valued fields
(arXiv)

Krzysztof Nowak:
A density property of Henselian valued fields
(arXiv)

Krzysztof Nowak:
The closedness theorem over Henselian valued fields
(arXiv)

Krzysztof Nowak:
The closedness theorem and its applications in algebraic geometry over Henselian valued fields
(arXiv)

Krzysztof Nowak:
Aclosedness theorem over henselian fields with analytic structure
(pdf file)

Krzysztof Nowak:
Some results of geometry over henselian fields with analytic structure
(pdf file)

Krzysztof Nowak:
A non-archimedean version of the Tietze-Urysohn Theorem over henselian valued fields
(pdf file)

Jack Ohm:
A valuation-theoretic approach to non-rationality of the curves Y2 = f(X)
(dvi file) --- (postscript file)

Jack Ohm:
V-rational fields
(dvi file) --- (postscript file)

Miguel Angel Olalla:
On the dimension of discrete valuations of k((X1,...,Xn))
(postscript file)

Miguel Angel Olalla:
Explicit constructions in discrete valuations
(postscript file)

Gönenç Onay:
F_p((X)) is decidable as a module over the additive polynomials
(arXiv)

Gönenç Onay:
Valued modules over skew polynomial rings 1
(arXiv)

Osiak, K. - Machura, M. - Kuhlmann, F.-V.:
Spaces of R-places of function fields over real closed fields
(pdf file)

Koushik Pal:
Multiplicative valued difference fields
(pdf file)

Herve Perdry:
A generalization of Hensel's Lemma
(dvi file) --- (postscript file)

Giulio Peruginelli:
Transcendental extensions of a valuation domain of rank one
(pdf file)

Giulio Peruginelli and Dario Spirito:
The Zariski-Riemann space of valuation domains associated to pseudo-convergent sequences
(pdf file)

Konstantin Ponomaryov:
Some generalizations of the Abhyankar lemma
(dvi file) --- (postscript file)

Konstantin Ponomaryov:
Some characteristics of formula sets in the whole of p-adics
(dvi file)

Florian Pop:
Classically projective groups and pseudo classically closed fields
(dvi file) --- (postscript file)

Patrick Popescu-Pampu:
Approximate Roots
(dvi file) --- (postscript file)

Dorin Popescu:
Néron desingularization of extensions of valuation rings
(pdf file)

Alexander Prestel:
Definable henselian valuation rings
(pdf file)

Alexander Prestel and Samuel Volkweis Leite:
Algebraic Characterization of Rings of Continuous p-adic valued functions
(pdf file)

Alexander Prestel:
Bounds for representations of polynomials positive on compact semi-algebraic sets
(dvi file) --- (postscript file)

Alexander Prestel:
Bounds for representations of polynomials positive on compact semi-algebraic sets
(new and extended version)
(dvi file) --- (postscript file)

Alexander Prestel and Niels Schwartz:
Model theory of real closed rings
(dvi file) --- (postscript file)

Sibylla Priess-Crampe and Paulo Ribenboim:
Ultrametric Dynamics
(pdf file)

Marius van der Put:
Valuation theory in rigid geometry and curves over valuation rings
(postscript file)

Paulo Ribenboim:
Some examples of valued fields
(postscript file)

Paulo Ribenboim:
The Immersion of Ultrametric Spaces into Hahn Spaces
(pdf file)

Cristina Rodriguez, Angel Granja and Carmen Martinez:
Extending real valuations to skew polynomial rings
(pdf file)

Peter Roquette:
History of Valuation Theory, Part I
(dvi file) --- (postscript file)

Peter Roquette:
Zum Grunwaldschen Existenzsatz in der Klassenkoerpertheorie
Seminar lecture note, presenting Grunwald's existence theorem in the framework of valuation theory. 16 pages. (German)
(postscript file) --- (dvi file)

Shai Sarussi:
Quasi-Valuations - Topology and the Weak Approximation Theorem
(pdf file)

Thomas Scanlon:
Quantifier Elimination for the Relative Frobenius
(dvi file) --- (postscript file)

Thomas Scanlon:
Quantifier Elimination for the Relative Frobenius
(new version)
(dvi file) --- (postscript file)

Thomas Scanlon:
A Model Complete Theory of Valued D-Fields
(dvi file) --- (postscript file)

Joachim Schmid:
A density property for PpC fields
(dvi file) --- (postscript file)

Erwin Schoerner:
Ultrametric Fixed Point Theorems and Applications
(dvi file) --- (postscript file)

Amrit Pal Singh and Sudesh K. Khanduja:
On a theorem of Tignol for defectless extensions and its converse
(postscript file) --- (pdf file)

Amrit Pal Singh and Sudesh K. Khanduja:
On Construction of Saturated Distinguished Chains
(pdf file)

Moss Sweedler:
Ideal Bases and Valuation Rings
(dvi file) --- (pdf file)

Bernard Teissier:
Overweight deformations of affine toric varieties and local uniformization
(pdf file)

Bernard Teissier:
Valuations, deformations and toric geometry
(postscript file) --- [Abstract]

Bernard Teissier:
Valuations, deformations, and toric geometry
new version
(dvi file) --- (postscript file)

Bernard Teissier:
Three facts of valuation theory
Corrected version of the paper which appeared in the Proceedings of the Japan Academy, Vol. LXXIV, Ser. A, No. 7, September 1988.
(dvi file) --- (postscript file)

Pierre Touchard:
Burden in Henselian Valued Fields
(pdf file)

Marcus Tressl:
Pseudo Completions and Completions in Stages of o-minimal Structures
(postscript file) --- (pdf file)

Marcus Tressl:
The elementary theory of Dedekind cuts
(postscript file)

E. D. Tymchatyn and M. Zarichnyi:
A note on operators extending partial ultrametrics
(dvi file) --- (postscript file) --- (pdf file)

Tohsuke Urabe:
Resolution of Singularities of Germs in Characteristic Positive Associated with Valuation Rings of Iterated Divisor Type
((xxx server)) --- see also (Urabe's home page)

Tohsuke Urabe:
New ideas for resolution of singularities
(dvi file) --- (postscript file)

Michel Vaquié:
Extension d'une valuation
(dvi file) --- (postscript file)

Michel Vaquié:
Valuations
(paper for the Proceedings of the Working Week on Resolution of Singularities Tirol 1997)
(postscript file)

Michel Vaquié:
Valuations and local uniformization
(postscript file) --- (pdf file)

Michel Vaquié:
Famille admise associée a une valuation de K[x]
(postscript file) --- (pdf file)

Michel Vaquié:
Defaut
(postscript file) --- (pdf file)

Michel Vaquié:
Algebre graduee associé a une valuation de K[x]
(postscript file) --- (pdf file)

Michel Vaquié:
Famille admise associée à une valuation de K(x) (new version)
(pdf file)

Michel Vaquié:
Valuation augmentée et paire minimale
(pdf file)

Adrian Wadsworth:
Valuation theory on finite dimensional division algebras
(dvi file) --- (postscript file)

Thomas Ward and coauthors:
Link to a collection of papers involving p-adic and ultrametric techniques

Liang Xiao and Igor Zhukov:
Ramification of higher local fields, approaches and questions
(pdf file)

Alexander Zheglov:
Wild division algebras over Laurent series fields
(postscript file)


Back to The Valuation Theory Home Page


Last update: September 3, 2022 --------- created and maintained by Franz-Viktor Kuhlmann