On the smallest poles of topological zeta functions
Dirk Segers, Willem Veys
Abstract
We study the local topological zeta function associated to a complex function that is holomorphic at the origin of C2 (respectively C3). We determine all possible poles less than -1/2 (respectively -1). On C2 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.
Create a lesson
Related papers
Integral and higher-genus quantum McKay correspondence in type D
Andrea Brini, Jingxiang Ma
Tensor-generating line bundles on toric varieties
Daigo Ito, Michael R. Zeng, Xiangru Zeng
Deterministic Determination of Axial Constants, Sectional Regularities and Annihilator Numbers
Amir Hashemi, Rozhin Sadr, Werner M. Seiler
Series of Fano quiver moduli from extended Dynkin quivers
Pieter Belmans, Markus Reineke
Gluing weak approximability along recollements
Pat Lank
The monodromy conjecture for high order poles, and norms of residue antiderivatives
Alexander Esterov