The universal zeta function for curve singularities and its relation with global zeta functions

Abstract

The purpose of this note is to give a brief overview on zeta functions of curve singularities and to provide some evidences on how these and global zeta functions associated to singular algebraic curves over perfect fields relate to each other.

arXiv commentSurvey on the "universal zeta function" defined for curve singularities by W. Zúñiga and the author in their paper "Motivic zeta functions for curve singularities" [Nagoya Math. J. 198 (2010), 47-75]; a poster of it was presented in the "Workshop on Positivity and Valuations" held at the Centre de Recerca Matemàtica, Barcelona, in 2016 February 22nd-26th