The Valuation Theory Home Page

These proceedings appeared in two volumes in the Fields Institute Communications Series, published by the American Mathematical Society.

Volume I has appeared July 2002.

Volume II has appeared September 2003.

• Shreeram S. Abhyankar: Two step descent in modular Galois theory, 31 pages
• Serban Basarab: The arithmetic-arboreal structure of a Prüfer domain I, 18 pages
• Hans Brungs and Günter Törner: Left valuation rings, left cones, and a question of Frege's, 7 pages
• Vincent Cossart, Olivier Piltant and Ana J. Reguera-Lopez: Divisorial valuations on rational surface singularities, 13 pages
• Tom Craven: *-valuations and Hermitian forms on skew fields, 13 pages
• Steven Dale Cutkosky: Resolution of morphisms, 24 pages
• Tim Gardener and Hans Schoutens: Rigid subanalytic sets, 10 pages
• Joachim Gräter: Dubrovin valuation rings and orders in central simple algebras, 11 pages
• Helen G. Grundman and Tara Smith: Q-adequate bicyclic bicubic fields, 11 pages
• 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), 30 pages
• Urs Hartl: Line bundles on rigid analytic spaces, 13 pages
• Pascal Hitzler and Tony Seda: The Fixed-Point Theorems of Priess-Crampe and Ribenboim in Computational Logic, 17 pages
• Sudesh K. Khanduja: The minimum property for Krasner's constant, 10 pages
• Henri Lombardi: About Merckel's lemma, 4 pages
• Mari-Emi Alonso and Henri Lombardi: Generalized Taylor formulas, computations in real closed valued fields and quantifier elimination, 25 pages
• Alexander Prestel: Bounds for representations of polynomials positive on compact semi-algebraic sets, 7 pages
• Alexander Prestel and Niels Schwartz: Model theory of real closed rings, 30 pages
• Marius van der Put: Valuation theory in rigid geometry and curves over valuation rings, 15 pages
• Peter Roquette: History of Valuation Theory, Part I, 65 pages
• Joachim Schmid: A density property for PpC fields, 12 pages
• Adrian Wadsworth: Valuation theory on finite dimensional division algebras, 65 pages

• K. Aghigh and S. K. Khanduja: A note on tame fields
• M. Aschenbrenner: Some remarks about asymptotic couples
• H. H. Brungs, H. Marubayashi, and E. Osmanagic: Prime segments for cones and rings
• V. Cossart and G. Moreno-Socias: Irreducibility criterion: A geometric point of view
• J. Denef and H. Schoutens: On the decidability of the existential theory of F_p[[t]]
• W. Gao, D. B. Leep, J. Minác, and T. L. Smith: Galois groups over nonrigid fields
• B. Green: Automorphisms of formal power series rings over a valuation ring
• H. Knaf: Regular curves over Prüfer domains
• J. Koenigsmann: Encoding valuations in absolute Galois groups
• F.-V. Kuhlmann, H. Lombardi, and H. Perdry: Dynamic computations inside the algebraic closure of a valued field
• G. Leloup: Preorders, rings, lattice-ordered groups and formal power series
• F. Lorenz and P. Roquette: The theorem of Grunwald-Wang in the setting of valuation theory
• R. I. Michler: Invariants of singular plane curves
• J. Ohm: V-rational fields
• H. Perdry: A generalization of Hensel's lemma
• F. Pop: Classically projective groups and pseudo classically closed fields
• P. Popescu-Pampu: Approximate roots
• T. Scanlon: Quantifier elimination for the relative Frobenius
• E. Schörner: Ultrametric fixed point theorems and applications
• B. Teissier: Valuations, deformations, and toric geometry

Last update: March 18, 2013 --------- created and maintained by Franz-Viktor Kuhlmann