On the smallest poles of topological zeta functions
Algebraic Geometry
2007-05-23 v1
Abstract
We study the local topological zeta function associated to a complex function that is holomorphic at the origin of C^2 (respectively C^3). We determine all possible poles less than -1/2 (respectively -1). On C^2 our result is a generalization of the fact that the log canonical threshold is never in ]5/6,1[. Similar statements are true for the motivic zeta function.
Keywords
Cite
@article{arxiv.math/0305235,
title = {On the smallest poles of topological zeta functions},
author = {Dirk Segers and Willem Veys},
journal= {arXiv preprint arXiv:math/0305235},
year = {2007}
}
Comments
18 pages, to appear in Compositio Math