602 citations
- Centre National de la Recherche ScientifiqueFR6 papers
- European Organization for Nuclear ResearchCH5 papers
- University of ViennaAT5 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Johannes Gutenberg University MainzDE4 papers
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- Institut Laue-LangevinFR3 papers
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- Observatoire de ParisFR3 papers
- Radboud University NijmegenNL3 papers
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5 papers · 2 filters
Poles of the topological zeta function associated to an ideal in dimension two
Lise Van Proeyen, Willem Veys
To an ideal in one can associate a topological zeta function. This is an extension of the topological zeta function associated to one polynomial. But in this case…
Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology
Johannes Nicaise
We constructed the analytic Milnor fiber is a non-archimedean model of the classical topological Milnor fibration. In the present paper, we describe the homotopy type of the analyt…
Stringy E-functions of hypersurfaces and of Brieskorn singularities
J. Schepers, W. Veys
We show that for a hypersurface Batyrev's stringy E-function can be seen as a residue of the Hodge zeta function, a specialization of the motivic zeta function of Denef and Loeser.…
Orbital integrals for linear groups
R. Cluckers, J. Denef
For a linear group acting on an absolutely irreducible variety over the rationals $\QQ$, we describe the orbits of $X(\QQ_p)$ under $G(\QQ_p)$ and of $X(\FF_p((t)))$ under…
Monodromy eigenvalues and zeta functions with differential forms
Willem Veys
For a complex polynomial or analytic function f, one has been studying intensively its so-called local zeta functions or complex powers; these are integrals of |f|^{2s}w considered…