Franz-Viktor Kuhlmann's
Published and Accepted Papers, Theses and Proceedings
A) Theses
- Diplom (Masters): Zur Konstruktion von rationalen Stellen
p-adischer und anderer bewerteter Funktionenkörper,
Münster
(1981).
- Dissertation (Ph.D.): Henselian function fields,
Heidelberg (1989)
(pdf file)
- Extended Version of Ph.D. thesis: Henselian Function Fields and
Tame Fields (1990)
(pdf file)
- Habilitation: Valuation theory of fields, abelian groups and
modules, Heidelberg (1994/95).
B) Proceedings
-
Kuhlmann, F.-V. - Kuhlmann, S. - Marshall, M. (eds.):
Valuation Theory and its
Applications
Proceedings of the Valuation Theory Conference, Saskatoon 1999, The
Fields Institute Communications Series 32/33, Publications of the
Amer. Math. Soc. (2002/2003)
AMS Bookstore: Volume I ---
Volume II
-
Campillo, A. - Kuhlmann, F.-V. - Teissier, B. (eds.):
Valuation Theory in Interaction
Proceedings of the Second International Valuation Theory Conference, Segovia / ElEscorial 2011,
EMS Series of Congress Reports
September 2014, 670 pages
C) Refereed publications
- Kuhlmann, F.-V. - Prestel, A.: On places of algebraic
function fields, J. reine angew. Math. 353
(1984), 182-195
(pdf file)
- Kuhlmann, F.-V. - Pank, M. - Roquette, P.: Immediate and
purely wild extensions of valued fields, manuscripta mathematica
55 (1986), 39-67
(pdf file)
- 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]
- Kuhlmann, F.-V.: Quantifier elimination for henselian fields
relative to additive and multiplicative congruences,
Israel Journal of Mathematics 85 (1994), 277-306
(postscript file)
- Kuhlmann, F.-V. - Kuhlmann, S.: On the structure of
nonarchimedean exponential fields II, Communications in Algebra
22 (1994), 5079-5103
(postscript file)
- 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]
- 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]
- Kuhlmann, F.-V. - Kuhlmann, S. - Shelah, S.:
Exponentiation in power series fields,
Proc. Amer. Math. Soc. 125 (1997), 3177--3183
(postscript file)
---
[Abstract]
- 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]
- 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]
- 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)
- Kuhlmann, F.-V. - Lombardi, H.: Construction du
Hensélise d'un corps valué, J. Alg.
228 (2000), 624-632
- Kuhlmann, F.-V.:
Elementary properties of power series fields over finite fields
, J. Symb. Logic 66 (2001), 771-791
(pdf file) ---
[Abstract]
- 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)
- 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)
- 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)
- Kuhlmann, F.-V. - Kuhlmann, S.:
Valuation theory of exponential Hardy fields I,
Mathematische Zeitschrift 243 (2003), 671-688
(dvi file) ---
(postscript file)
- Kuhlmann, F.-V. - Kuhlmann, S. - Shelah, S.:
Functorial Equations for Lexicographic Products,
Proc. Amer. Math. Soc. 131, (2003), 2969-2976
(dvi file) ---
(postscript file)
- Kuhlmann, F.-V.: A correction to Epp's paper ``Elimination of
wild ramification'', Inventiones Math. 153, 679-681
(pdf file)
- Kuhlmann, F.-V.: On places of algebraic function fields in
arbitrary characteristic, Advances in Math. 188 (2004),
399-424
(pdf file)
- Kuhlmann, F.-V.: Value groups, residue fields and bad places of
rational function fields, Trans. Amer. Math. Soc. 356 (2004),
4559-4600
(pdf file)
- Giraudet, M. - Kuhlmann, F.-V. - Leloup, G.: Formal
series with exponents in cyclically ordered groups, Arch.
Math. 84 (2005), 118-130
(pdf file)
- Knaf, H. - Kuhlmann, F.-V.: Abhyankar places admit
local uniformization in any characteristic,
Ann. Scient. Ec. Norm. Sup. 38 (2005), 833-846
(pdf file)
- 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)
- 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
(pdf file)
- 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)
-
Kuhlmann, F.-V. - Kuhlmann, S. - Lee, J.: Valuation bases
for generalized algebraic series fields, Journal of
Algebra 322 (2009), 1430-1453
(pdf file)
-
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)
- Kuhlmann, F.-V.: Elimination of Ramification I: The Generalized
Stability Theorem, Trans. Amer. Math. Soc. 362 (2010),
5697-5727
(pdf file)
- Kuhlmann, F.-V.: A classification of Artin Schreier defect
extensions and a characterization of defectless fields,
Illinois J. Math. 54 (2010), 397-448
Original version: (pdf file) ---
Corrected version: (pdf file)
- 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)
- Kuhlmann, F.-V.: Maps on ultrametric spaces, Hensel's Lemma,
and differential equations over valued fields, Comm.
in Alg. 39 (2011), 1730-1776
(pdf file)
-
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)
- Kuhlmann, F.-V.: Approximation of elements in
henselizations, manuscripta math. 136 (2011), 461-474
(pdf file)
- Azgin, S. - Kuhlmann, F.-V. - Pop, F.: Characterization of
extremal valued fields, Proc. Amer. Math. Soc.
140 (2012), 1535-1547
(pdf file)
- 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)
- Kuhlmann, F.-V. - Novacoski, J.: Henselian elements, J. Alg. 418 (2014), 44-65
(pdf file)
- Kuhlmann, F.-V. - Vlahu, Izabela: The relative approximation
degree in valued function fields, Mathematische
Zeitschrift 276 (2014), 203-235
(pdf file)
- 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)
- 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)
- Kuhlmann, F.-V. - Kuhlmann, K. - Shelah, S.: Symmetrically
complete ordered sets, abelian groups and fields,
Israel J. Math. 208 (2015), 261-290
(pdf file)
- 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)
- 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)
- 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)
- Kuhlmann, F.-V. - Pal, K.: The model theory of separably tame fields, J. Alg. 447 (2016), 74-108
(pdf file)
- Anscombe, S. - Kuhlmann, F.-V.: Notes on extremal and tame valued fields, J. Symb. Logic 81 (2016), 400-416
(pdf file)
- 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)
- Blaszczok, A. - Kuhlmann, F.-V.: On maximal immediate extensions of valued fields, Mathematische Nachrichten 290 (2017),
7-18
(pdf file)
- Kuhlmann, F.-V. - Kuhlmann, K.: Fixed point theorems for spaces with a transitive relation, Fixed Point Theory 18 (2017),
663-672
(pdf file)
- 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)
- 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)
- 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 Appl. 20, Art. 107 (2018), DOI 10.1007/s11784-018-0576-8
online (open access) -
View-only access to original article
- Dobrowolski, J. - Kuhlmann, F.-V.: Valuation theory, generalized IFS attractors and fractals, Arch. Math. 111 (2018),
287-297, DOI 0.1007/s00013-018-1202-0
online (open access)
- Blaszczok, A. - Kuhlmann, F.-V.: Counting the number of distinct distances of elements in valued field extensions, J. Alg.
509 (2018), 192-211
(pdf file)
- Kuhlmann, F.-V.: Elimination of Ramification II: Henselian Rationality,
Israel J. Math. 234 (2019), 927–958
(pdf file) - View-only access to
original article
- Kubiś, W. - Kuhlmann, F.-V.: Chain intersection closures, Topology Appl.
262 (2019), 11-19
(arXiv)
- Kuhlmann, F.-V.: Correction and notes to the paper "A classification of
Artin-Schreier defect extensions and characterizations of defectless fields", Illinois J. Math. 63 (2019), 463-468
(pdf file)
- Cubides Kovacsics, P. - Kuhlmann, F.-V. - Rzepka (formerly Blaszczok), A.: On valuation independence and defectless extensions of valued
fields, J. Algebra 555 (2020), 69-95
(pdf file)
- Dutta, A. - Kuhlmann, F.-V.: Eliminating Tame Ramification: generalizations of Abhyankar's Lemma, Pacific J. Math.
307 (2020), 121-136
(pdf file)
- Kuhlmann, F.-V.: Selected methods for the classification of cuts and their applications,
Proceedings of the ALANT 5
conference 2018, Banach Center Publications 121 (2020), 85-106
(pdf file)
- Ćmiel, H. - Kuhlmann, F.-V. - Kuhlmann, K.: A generic approach to measuring the
strength of completeness/compactness of various types of spaces and ordered structures,
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
115, Article number: 156 (2021)
(pdf file) - View-only
access to original article
- Bartsch, R. - Kuhlmann, F.-V. - Kuhlmann, K.: Construction of ball spaces and the
notion of continuity, New Zealand Journal of Mathematics 51 (2021), 49-64
(arXiv)
- Kuhlmann, F.-V.: Valued fields with finitely many Artin Schreier defect
extensions, Journal of Algebra and Its Applications 21 (2022),
Article No. 2250049
DOI: 10.1142/S0219498822500499
(pdf file)
- Kuhlmann, F.-V.: Subfields of algebraically maximal Kaplansky fields,
Communications in Algebra 50 (2022), 3346-3353
DOI:
10.1080/00927872.2022.2032118
(pdf file) - (eprint)
- Kuhlmann, F.-V.:
Approximation types describing extensions of valuations
to rational function fields, Mathematische Zeitschrift 301 (2022),
2509-2546
open access
DOI: 10.1007/s00209-022-02980-2
View-only access to
original article
- Kuhlmann, F.-V. - Nart, E.:
Cuts and small extensions of abelian ordered groups, Journal of Pure
and Applied Algebra 226 (2022)
DOI: 10.1016/j.jpaa.2022.107103
(pdf file)
- Becker, E. - Kuhlmann, F.-V. - Kuhlmann, K.: Density of Composite Places in
Function Fields and Applications to Real Holomorphy Rings,
Mathematische Nachrichten 296 (2023), 57-79
DOI: 10.1002/mana.202000308
View-only access to original article
(pdf file)
- Kuhlmann, F.-V. - Rzepka, A.: The valuation theory of deeply ramified fields and its
connection with defect extensions, Transactions Amer. Math. Soc. 376 (2023),
2693-2738
(pdf file)
- Ćmiel, H. - Kuhlmann, F.-V. - Szewczyk, P.: On the continuity of roots of
polynomials over valued fields, Communications in Algebra 51 (2023),
1383-1412
(pdf file)
online
first
- Dutta, A. - Kuhlmann, F.-V.: Tame key polynomials, J. Algebra 629
(2023), 162-190
(pdf file)
Last update: May 23, 2023