Contents
Publications with available DVI- PS-
and/or PDF-file
Professor at the University of Leuven (K.U.Leuven),
Department of Mathematics, Section of Algebra
Fields of Research
Algebraic Geometry, Singularity Theory, applications in Number Theory
Specific Research Topics
Exceptional divisor of an embedded resolution, Zeta Functions (Igusa, topological, motivic), Monodromy,
Configurations of curves on surfaces, Surface singularities, Stringy
invariants, Principal value integrals, Newton trees
Ph.D. Students
Dr. Bart Rodrigues : Geometric determination of the poles of motivic
and topological zeta functions, May 2002
Dr. Dirk Segers : Smallest poles of zeta functions and solutions of
polynomial congruences, April 2004
Dr. Jan Schepers : Stringy invariants of singular algebraic
varieties, May 2006
Dr. Ann Lemahieu (other adviser : Antonio Campillo, Univ. Valladolid) : Poincaré series and zeta functions, March
2007
Dr. Filip Cools (other adviser : Marc Coppens) : Grassmann secant varieties and plane curves with
total inflection points, May 2007
Dr. Lise Van Proeyen : Local zeta functions for ideals and the monodromy conjecture, July 2008
Dr. Tim Wouters (other adviser : Philippe Gille,
Parijs) : Cohomological
approach of obstructions for the existence of rational points, May 2010
Bart Bories : On
zeta functions and Bernstein polynomials
Leen Van Langenhoven : Divisorial valuations
Thomas Cauwbergs : Motivic zeta functions and Bernstein polynomials
Address :
University of Leuven, Department of Mathematics, Celestijnenlaan
200 B,
B-3001 Leuven (Heverlee), Belgium.
Electronic mail address : wim.veys@wis.kuleuven.be
Web address : http://www.wis.kuleuven.be/algebra/veys.htm
Office phone : (+32)16-327092
Office fax : (+32)16-327998
Publications with available PDF-, DVI- and/or PS-file (starting from
1992)
P. Cassou-Noguès and W. Veys, Newton trees for ideals
in two variables and applications,
(in preparation), 34p.
N. Budur, M.
Saito and S. Yuzvinsky. With an appendix by W.
Veys, On the local zeta functions and b-functions of certain hyperplane arrangements, J. London Math. Soc. (to appear).
A. Némethi
and W. Veys, Generalized monodromy
conjecture in dimension two, Geom. Topol. (to appear), 43p.
W. Veys and W.
Zuniga-Galindo, Poles of Archimedean zeta functions for analytic mappings,
preprint (2010), 10p. pdf
A. Némethi and W. Veys, Monodromy
eigenvalues are induced by poles of zeta functions: the irreducible curve case,
Bull. London Math. Soc. (2010); doi: 10.1112/blms/bdp 128, 11p. pdf
A. Melle, T. Torrelli
and W. Veys, Monodromy Jordan blocks,
b-functions and poles of zeta functions for germs of plane curves, J.
Algebra 324 (2010), 1364-1382. pdf
A. Melle, T. Torrelli
and W. Veys, On 'maximal' poles of zeta functions, roots of b-functions and monodromy Jordan blocks, J. Topology 2 (2009), 517-526.
pdf
L. Van
Proeyen and W. Veys, The monodromy conjecture
for zeta functions associated to ideals in dimension two, Ann. Inst.
Fourier 60 (2010), 1347-1362. pdf
A. Lemahieu and W. Veys, Zeta functions and monodromy
for surfaces that are general for a toric idealistic
cluster, Intern. Math. Res. Notices ID rnn122 (2009), 52p. pdf
E. Daems, A. Kuijlaars and W. Veys, Asymptotics of non-intersecting Brownian motions
and a 4x4 Riemann-Hilbert problem, J. Approximation Theory 153
(2008), 225- 256. pdf
A. Lemahieu and W. Veys, On monodromy for a class of surfaces, C. R. Acac. Sci. Paris, Ser. I 345 (2007), 633-638. pdf
D. Segers, L. Van Proeyen and W. Veys, The motivic
zeta function and its smallest poles, J. Algebra 317 (2007), 851-866. dvi, pdf
J. Schepers and W. Veys, Stringy E-functions of hypersurfaces and of Brieskorn
singularities, Adv. Geom. 9 (2009), 199-217. pdf
(new and extended version of our previous preprint Stringy
E-functions of hypersurfaces)
L. Van Proeyen and W. Veys, Poles of the
topological zeta function associated to an ideal in dimension two, Math. Z.
260 (2008), 615-627. dvi, pdf
W. Veys, Monodromy
eigenvalues and zeta functions with differential forms, Adv. Math. 213
(2007), 341-357. dvi,
ps, pdf
W. Veys and W. Zuniga-Galindo, Zeta functions for
analytic mappings, log-principalization of ideals,
and Newton polyhedra, Trans. Amer. Math. Soc. 360
(2008), 2205-2227. pdf
J. Schepers and W. Veys, Stringy Hodge numbers for
a class of isolated singularities and for threefolds,
Intern. Math. Res. Notices, ID rnm016 (2007),
14p. pdf
W. Veys, On motivic principal value integrals,
Math. Proc. Cambridge Philos. Soc. 143 (2007), 543-555. ps, pdf
W. Veys, Vanishing of principal value integrals on
surfaces, J. Reine Angew.
Math. 598 (2006), 139-158. dvi,
ps, pdf
A. Lemahieu, D. Segers and W. Veys, On the
poles of topological zeta functions, Proc. Amer. Math. Soc. 134 (2006),
3429-3436. dvi, ps, pdf
W. Veys, Arc spaces, motivic integration and
stringy invariants, Advanced Studies in Pure Mathematics 43 , Proceedings
of "Singularity Theory and its applications, Sapporo (Japan), 16-25 september 2003" (2006), 529-572. dvi, ps, pdf
D. Segers and W. Veys, On
the smallest poles of topological zeta functions, Compositio
Math. 140 (2004), 130-144. dvi, ps
W. Veys, Stringy
invariants of normal surfaces, J. Alg. Geom. 13 (2004), 115-141. dvi, ps
W. Veys, Stringy zeta functions for Q-Gorenstein varieties, Duke Math. J. 120 (2003),
469-514. dvi, ps
B. Rodrigues and W. Veys, Poles of zeta
functions on normal surfaces, Proc. London Math. Soc. 87 (2003),
164-196. dvi, ps
B. Rodrigues and W. Veys, Holomorphy
of Igusa's and topological zeta functions for
homogeneous polynomials, Pacific J. Math. 201 (2001), 429-441. dvi, ps
W. Veys, Zeta functions and 'Kontsevich
invariants' on singular varieties, Canad. J. Math.
53 (2001), 834-865. dvi, ps
W. Veys, Embedded resolution of singularities and Igusa's local zeta function, Academiae
Analecta, 2001 (survey paper, 56p). dvi
A. Laeremans and W.
Veys, On the poles of maximal order of the topological zeta function,
Bull. London Math. Soc. 31 (1999), 441-449. dvi, ps
W. Veys, The topological zeta function associated
to a function on a normal surface germ, Topology 38 (1999), 439-456. dvi, ps
W. Veys, Structure of rational open surfaces with
non-positive Euler characteristic, Math. Annalen
312 (1998), 527-548. dvi, ps
W. Veys, More congruences
for numerical data of an embedded resolution, Compositio
Math. 112 (1998), 313-331. dvi, ps
W. Veys, Zeta functions for curves and log
canonical models, Proc. London Math. Soc. 74 (1997), 360-378. dvi, ps
W. Veys, Determination of the poles of the
topological zeta function for curves, Manuscripta
Math. 87 (1995), 435-448. dvi, ps
J. Denef and W. Veys, On the holomorphy
conjecture for Igusa's local zeta function, Proc.
Amer. Math. Soc., 123 (1995), 2981-2988. dvi, ps
W. Veys, On Euler characteristics associated
to exceptional divisors, Trans. Amer. Math. Soc. 347 (1995), 3287-3300. dvi, ps
W. Veys, Poles of Igusa's
local zeta function and monodromy, Bull. Soc.
Math. France 121
(1993), 545-598. ps
W. Veys, Reduction modulo p^n of p-adic subanalytic sets, Math.
Proc. Cambridge Philos. Soc. 112 (1992), 483--486. dvi, ps
W. Veys, On the poles of local zeta functions for
curves, Proc. first Belgian-Spanish week on Algebra and Geometry, Antwerpen 1988, 173-181.
W. Veys, On the poles of Igusa's
local zeta function for curves, J. London Math. Soc. 41 (1990), 27-32.
W. Veys, Relations between numerical data of an
embedded resolution, Amer. J. Math. 113 (1991), 573-592.
W. Veys, Congruences for
numerical data of an embedded resolution, Compositio
Math. 80 (1991), 151-169.
W. Veys, Relations between numerical data of an
embedded resolution, Astérisque 198/200 (1991),
397-403.
Last Revised: November 2011