oalib

Publish in OALib Journal

ISSN: 2333-9721

APC: Only $99

Submit

Any time

2020 ( 28 )

2019 ( 233 )

2018 ( 320 )

2017 ( 296 )

Custom range...

Search Results: 1 - 10 of 297563 matches for " J. Denef "
All listed articles are free for downloading (OA Articles)
Page 1 /297563
Display every page Item
Definable sets, motives and p-adic integrals
J. Denef,F. Loeser
Mathematics , 1999,
Abstract: We associate canonical virtual motives to definable sets over a field of characteristic zero. We use this construction to show that very general p-adic integrals are canonically interpolated by motivic ones.
Lefschetz numbers of iterates of the monodromy and truncated arcs
J. Denef,F. Loeser
Mathematics , 2000,
Abstract: We express the Lefschetz number of iterates of the monodromy of a function on a smooth complex algebraic variety in terms of the Euler characteristic of a space of truncated arcs.
Motivic integration, quotient singularities and the McKay correspondence
J. Denef,F. Loeser
Mathematics , 1999,
Abstract: The present work is devoted to the study of motivic integration on quotient singularities. We give a new proof of a form of the McKay correspondence previously proved by Batyrev. The paper contains also some general results on motivic integration on arbitrary singular spaces.
Motivic integration and the Grothendieck group of pseudo-finite fields
J. Denef,F. Loeser
Mathematics , 2002,
Abstract: We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals of a very general type depend on p.
On some rational generating series occuring in arithmetic geometry
J. Denef,F. Loeser
Mathematics , 2002,
Abstract: We illustrate the principle: rational generating series occuring in arithmetic geometry are motivic in nature.
Orbital integrals for linear groups
R. Cluckers,J. Denef
Mathematics , 2007,
Abstract: For a linear group $G$ acting on an absolutely irreducible variety $X$ over the rationals $\QQ$, we describe the orbits of $X(\QQ_p)$ under $G(\QQ_p)$ and of $X(\FF_p((t)))$ under $G(\FF_p((t)))$ for $p$ big enough. This allows us to show that the degree of a wide class of orbital integrals over $\QQ_p$ or $\FF_p((t))$ is $\leq 0$ for $p$ big enough, and similarly for all finite field extensions of $\QQ_p$ and $\FF_p((t))$.
Geometry on arc spaces of algebraic varieties
J. Denef,F. Loeser
Mathematics , 2000,
Abstract: This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory. The geometry of the arc space of an algebraic variety yields several new geometric invariants and brings new light to some classical invariants.
Macdonald integrals and monodromy
J. Denef,F. Loeser
Mathematics , 2001,
Abstract: We prove several results on monodromies associated to Macdonald integrals, that were used in our previous work on the finite field analogue of a conjecture of Macdonald. We also give a new proof of our formula expressing recursively the zeta function of the local monodromy at the origin of the discriminant of a finite Coxeter group in terms of the degrees of the group.
Motivic exponential integrals and a motivic Thom-Sebastiani Theorem
J. Denef,F. Loeser
Mathematics , 1998,
Abstract: We introduce motivic analogues of p-adic exponential integrals. We prove a basic multiplicativity property from which we deduce a motivic analogue of the Thom-Sebastiani Theorem. In particular, we obtain a new proof of the Thom-Sebastiani Theorem for the Hodge spectrum of (non isolated) singularities of functions.
Character sums associated to finite Coxeter groups
J. Denef,F. Loeser
Mathematics , 1998,
Abstract: We prove a character sum identity for Coxeter arrangements which is a finite field analogue of Macdonald's conjecture proved by Opdam.
Page 1 /297563
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.