Franz-Viktor Kuhlmann's

Published and Accepted Papers, Theses and Proceedings


A) Theses


B) Proceedings


C) Refereed publications

  1. Kuhlmann, F.-V. - Prestel, A.: On places of algebraic function fields, J. reine angew. Math. 353 (1984), 182-195
    (pdf file)
  2. Kuhlmann, F.-V. - Pank, M. - Roquette, P.: Immediate and purely wild extensions of valued fields, manuscripta mathematica 55 (1986), 39-67
    (pdf file)
  3. Basarab, S. A. - Kuhlmann, F.-V.: An isomorphism theorem for henselian algebraic extensions of valued fields, manuscripta mathematica 77 (1992), 113 - 126
    (postscript file) --- [Abstract]
  4. Kuhlmann, F.-V.: Quantifier elimination for henselian fields relative to additive and multiplicative congruences, Israel Journal of Mathematics 85 (1994), 277-306
    (postscript file)
  5. Kuhlmann, F.-V. - Kuhlmann, S.: On the structure of nonarchimedean exponential fields II, Communications in Algebra 22 (1994), 5079-5103
    (postscript file)
  6. Kuhlmann, F.-V.: Abelian groups with contractions I, in: Proceedings of the Oberwolfach Conference on Abelian Groups 1993, Amer. Math. Soc. Contemporary Mathematics 171 (1994), 217-241
    (postscript file) --- [Abstract]
  7. Kuhlmann, F.-V.: Abelian groups with contractions II: weak o-minimality, in: Abelian Groups and Modules (Proceedings of the Padova Conference 1994, eds. A. Facchini and C. Menini), Kluwer Academic Publishers, Dordrecht (1995), 323-342
    (postscript file) --- [Abstract]
  8. Kuhlmann, F.-V. - Kuhlmann, S. - Shelah, S.: Exponentiation in power series fields, Proc. Amer. Math. Soc. 125 (1997), 3177--3183
    (postscript file) --- [Abstract]
  9. Kuhlmann, F.-V. - Kuhlmann, S.: Ax-Kochen-Ershov principles for valued and ordered vector spaces, in: Proc. Curacao Meeting on Ordered Algebraic Structures, eds. W. C. Holland and J. Martinez, 237-259
    (postscript file) --- [Abstract]
  10. Kuhlmann, F.-V. - Kuhlmann, S.: The exponential rank of nonarchimedean exponential fields, in: Proceedings of the Special Semester in Real Algebraic Geometry and Ordered Structures, Baton Rouge 1996, Contemporary Mathematics 253 (2000), 181-201. Prepublication in: The Fields Institute Preprint Series, Toronto (June 1997); also in: Structures Algébriques Ordonnées, Séminaire Paris VII (1997)
    (postscript file) --- [Abstract]
  11. Kuhlmann, F.-V.: Valuation theoretic and model theoretic aspects of local uniformization, in: Resolution of Singularities - A Research Textbook in Tribute to Oscar Zariski. Herwig Hauser, Joseph Lipman, Frans Oort, Adolfo Quiros (eds.), Progress in Mathematics Vol.181, Birkhäuser Verlag Basel (2000), 381-456
    (postscript file) --- [Abstract]
  12. Kuhlmann, F.-V. - Lombardi, H.: Construction du Hensélise d'un corps valué, J. Alg. 228 (2000), 624-632
  13. Kuhlmann, F.-V.: Elementary properties of power series fields over finite fields , J. Symb. Logic 66 (2001), 771-791
    (pdf file) --- [Abstract]
  14. van den Dries, L. - Kuhlmann, F.-V.:
    Images of additive polynomials in Fq((t)) have the optimal approximation property, Can. Math. Bulletin 45 (2002), 71-79
    (dvi file) --- (postscript file)
  15. Kuhlmann, F.-V. - Kuhlmann, S. - Marshall, M. - Zekavat, M.: Embedding ordered fields in formal power series fields, J. Pure Appl. Algebra 169 (2002), 71-90
    (dvi file) --- (postscript file)
  16. Kuhlmann, F.-V. - Lombardi, H. - Perdry, H.: Dynamic computations inside the algebraic closure of a valued field, in: Valuation Theory and its Applications, Volume II, Proceedings of the Valuation Theory Conference Saskatoon 1999, eds. F.-V. Kuhlmann, S. Kuhlmann and M. Marshall, The Fields Institute Communications Series 33, Publications of the Amer. Math. Soc. (2003), 133-156
    (dvi file) --- (postscript file)
  17. Kuhlmann, F.-V. - Kuhlmann, S.: Valuation theory of exponential Hardy fields I, Mathematische Zeitschrift 243 (2003), 671-688
    (dvi file) --- (postscript file)
  18. Kuhlmann, F.-V. - Kuhlmann, S. - Shelah, S.: Functorial Equations for Lexicographic Products, Proc. Amer. Math. Soc. 131, (2003), 2969-2976
    (dvi file) --- (postscript file)
  19. Kuhlmann, F.-V.: A correction to Epp's paper ``Elimination of wild ramification'', Inventiones Math. 153, 679-681
    (pdf file)
  20. Kuhlmann, F.-V.: On places of algebraic function fields in arbitrary characteristic, Advances in Math. 188 (2004), 399-424
    (dvi file) --- (postscript file)
  21. Kuhlmann, F.-V.: Value groups, residue fields and bad places of rational function fields, Trans. Amer. Math. Soc. 356 (2004), 4559-4600
    (pdf file)
  22. Giraudet, M. - Kuhlmann, F.-V. - Leloup, G.: Formal series with exponents in cyclically ordered groups, Arch. Math. 84 (2005), 118-130
    (pdf file)
  23. Knaf, H. - Kuhlmann, F.-V.: Abhyankar places admit local uniformization in any characteristic, Ann. Scient. Ec. Norm. Sup. 38 (2005), 833-846
    (dvi file) --- (postscript file)
  24. Kuhlmann, F.-V.: Additive Polynomials and Their Role in the Model Theory of Valued Fields, Proceedings of the Workshop and Conference on Logic, Algebra, and Arithmetic, held October 18-22, 2003. Lecture Notes in Logic 26 (2006), 160-203
    (pdf file)
  25. Kuhlmann, F.-V.: Dense subfields of henselian fields, and integer parts, Proceedings of the Workshop and Conference on Logic, Algebra, and Arithmetic, held October 18-22, 2003. Lecture Notes in Logic 26 (2006), 204-226
    (postscript file) --- (pdf file)
  26. Knaf, H. - Kuhlmann, F.-V.: Every place admits local uniformization in a finite extension of the function field, Advances in Math. 221 (2009), 428-453
    (pdf file)
  27. Kuhlmann, F.-V. - Kuhlmann, S. - Lee, J.: Valuation bases for generalized algebraic series fields, Journal of Algebra 322 (2009), 1430-1453
    (pdf file)
  28. Kuhlmann, F.-V. - Kuhlmann, S. - Fornasiero, A.: Towers of complements to valuation rings and truncation closed embeddings of valued fields, Journal of Algebra 323 (2010), 574-600
    (pdf file)
  29. Kuhlmann, F.-V.: Elimination of Ramification I: The Generalized Stability Theorem, Trans. Amer. Math. Soc. 362 (2010), 5697-5727
    (dvi file) --- (postscript file) --- (pdf file)
  30. Kuhlmann, F.-V.: A classification of Artin Schreier defect extensions and a characterization of defectless fields, Illinois J. Math. 54 (2010), 397-448
    (postscript file) --- (pdf file)
  31. Kuhlmann, F.-V.: The defect, in: Commutative Algebra - Noetherian and non-Noetherian perspectives. Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding and Irena Swanson (eds.), Springer 2011
    (pdf file)
  32. Kuhlmann, F.-V.: Maps on ultrametric spaces, Hensel's Lemma, and differential equations over valued fields, Comm. in Alg. 39 (2011), 1730-1776
    (dvi file) --- (pdf file)
  33. Kuhlmann, F.-V. - Machura, M. - Osiak, K.: Metrizability of spaces of R-places of function fields of transcendence degree 1 over real closed fields, Comm. in Alg. 39 (2011), 3166-3177
    (pdf file)
  34. Kuhlmann, F.-V.: Approximation of elements in henselizations, manuscripta math. 136 (2011), 461-474
    (pdf file)
  35. Azgin, S. - Kuhlmann, F.-V. - Pop, F.: Characterization of extremal valued fields, Proc. Amer. Math. Soc. 140 (2012), 1535-1547
    (pdf file)
  36. Kuhlmann, F.-V. - Kuhlmann, K.: Embedding theorems for spaces of R-places of rational function fields and their products, Fundamenta Math. 218 (2012), 121-149
    (pdf file)
  37. Kuhlmann, F.-V. - Novacoski, J.: Henselian elements, J. Alg. 418 (2014), 44-65
    (pdf file)
  38. Kuhlmann, F.-V. - Vlahu, Izabela: The relative approximation degree in valued function fields, Mathematische Zeitschrift 276 (2014), 203-235
    (pdf file)
  39. Kuhlmann, F.-V.: The algebra and model theory of tame valued fields, J. reine angew. Math. 719 (2016), 1-43; DOI: 10.1515/crelle-2014-0029 (2014 online)
    (pdf file)
  40. Kuhlmann, F.-V. - Naseem, A.: Defects of algebraic function fields, completion defects and defect quotients, in: Proceedings of the Second International Conference on Valuation Theory, Spain 2011, EMS Series of Congress Reports (2014), 320-349
    (pdf file)
  41. Kuhlmann, F.-V. - Kuhlmann, K. - Shelah, S.: Symmetrically complete ordered sets, abelian groups and fields, Israel J. Math. 208 (2015), 261-290
    (pdf file)
  42. Blaszczok, A. - Kuhlmann, F.-V.: Corrections and Notes for the Paper "Value groups, residue fields and bad places of rational function fields", Trans. Amer. Math. Soc. 367 (2015), 4505-4515
    (pdf file)
  43. Kuhlmann, F.-V. - Kuhlmann, K.: A common generalization of metric and ultrametric fixed point theorems, Forum Math. 27 (2015), 303-327; and: Correction to "A common generalization of metric, ultrametric and topological fixed point theorems", Forum Math. 27 (2015), 329-330
    alternative corrected version: (pdf file)
  44. Blaszczok, A. - Kuhlmann, F.-V.: Algebraic independence of elements in completions and maximal immediate extensions of valued fields, J. Alg. 425 (2015), 179-214
    (pdf file)
  45. Kuhlmann, F.-V. - Pal, K.: The model theory of separably tame fields, J. Alg. 447 (2016), 74-108
    (pdf file)
  46. Anscombe, S. - Kuhlmann, F.-V.: Notes on extremal and tame valued fields, J. Symb. Logic 81 (2016), 400-416
    (pdf file)
  47. Kuhlmann, F.-V. - Kuhlmann, K. - Visan, C.: Valuations on rational function fields that are invariant under permutation of the variables, J. Alg. 464 (2016), 279-296
    (pdf file)
  48. Blaszczok, A. - Kuhlmann, F.-V.: On maximal immediate extensions of valued fields, Mathematische Nachrichten 290 (2017), 7-18
    (pdf file)
  49. Kuhlmann, F.-V. - Kuhlmann, K.: Fixed point theorems for spaces with a transitive relation, Fixed Point Theory 18 (2017), 663-672
    (pdf file)
  50. Kuhlmann, F.-V. - Kuhlmann, K. - Sonaallah, F.: Coincidence Point Theorems for Ball Spaces and Their Applications, in: Ordered Algebraic Structures and Related Topics, CIRM , Luminy, France, October 12-16 2015, Contemporary Mathematics 697 (2017), 211-226
    (pdf file)
  51. Kuhlmann, F.-V. - Kuhlmann, S.: Valuation theory of exponential Hardy fields II: Principal parts of germs in the Hardy field of o-minimal exponential expansions of the reals, in: Ordered Algebraic Structures and Related Topics, CIRM , Luminy, France, October 12-16 2015, Contemporary Mathematics 697 (2017), 227-237
    (pdf file)
  52. Kuhlmann, F.-V. - Kuhlmann, K. - Paulsen, M.: The Caristi-Kirk Fixed Point Theorem from the point of view of ball spaces, Journal of Fixed Point Theory and Applications (open access) (2018)
    (pdf file)
  53. Kuhlmann, F.-V. - Dobrowolski, J.: Valuation theory, generalized IFS attractors and fractals, Archiv der Mathematik (open access) (2018)
    (arXiv)
  54. Blaszczok, A. - Kuhlmann, F.-V.: Counting the number of distinct distances of elements in valued field extensions, to appear in J. Alg.
    (pdf file)


Preprints

Other publications


Preprints published in the Preprint Series of the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, during the Model Theory and Applications to Algebra and Analysis program can be obtained from Preprints 2005.


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Last update: June 2, 2018