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Page of Wim Veys
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Work
Information
Contact
Information
Publications with available DVI- PS- and/or PDF-file
Previous publications
Work
Information
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
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
Tim Wouters (other adviser : Philippe Gille, Parijs)
: Cohomological
approach of obstructions for the existence of rational points
Bart Bories : On p-adic and
other zeta functions
Leen Van Langenhoven
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Contact
Information
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
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Publications
with
available PDF-, DVI- and/or PS-file (starting from 1992)
A. Némethi
and W.
Veys, Monodromy eigenvalues
are induced by poles of zeta functions - the irreducible curve case,
Bull. London Math. Soc.
(to appear), 11p. pdf
A. Melle, T. Torrelli and W. Veys, Monodromy Jordan blocks, b-functions and
poles of zeta functions for germs of plane curves,
preprint
(2008), 20p. pdf
A. Melle, T. Torrelli and W. Veys, On 'maximal' poles of zeta functions,
roots of b-functions and monodromy Jordan blocks, J. Topology
(to appear), 8p. pdf
L. Van Proeyen and
W. Veys, The monodromy conjecture
for
zeta functions associated to ideals in dimension two, Ann. Inst.
Fourier
(to appear), 16p.
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,
Holomorphy of local zeta functions for curves, Math. Annalen 295
(1993), 635-641. dvi,
ps
W. Veys,
Reduction modulo p^n of p-adic subanalytic sets, Math. Proc.
Cambridge
Philos. Soc. 112 (1992), 483--486. dvi, ps
Previous
Publications
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.
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Other homepages of our research group :
Jan Denef
Raf Cluckers
Dirk
Segers
previous members : Philippe Jacobs, Kathleen
Hoornaert
Last Revised: November 2009