On the poles of Igusa's Local Zeta Function for algebraic sets
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
The aim of this paper is to describe explicitly the poles of the meromorphic continuation of the Igusa local zeta function associated to several polynomials. Using resolution of singularities is possible to express the Igusa's local zeta function as a finite sum of p-adic monomial integrals. We compute these monomial integrals using techniques of toroidal geometry. In this way, we obtain an explicit list for the candidates to poles of the local zeta function associated to several polynomials.
Keywords
Cite
@article{arxiv.math/0306427,
title = {On the poles of Igusa's Local Zeta Function for algebraic sets},
author = {W. A. Zuniga-Galindo},
journal= {arXiv preprint arXiv:math/0306427},
year = {2007}
}
Comments
11 pages, accepted in Bulletin of the London Mathematical Society