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

## TL;DR

This paper explores the relationship between local zeta functions of curve singularities and global zeta functions of algebraic curves over perfect fields, providing insights into their interconnected nature.

## Contribution

It offers a concise overview of zeta functions for curve singularities and presents evidence linking local and global zeta functions in algebraic geometry.

## Key findings

- Local zeta functions encode singularity information.
- Global zeta functions relate to local singularity data.
- Evidence suggests a deep connection between local and 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.