# Fundamental group of non-singular locus of Lauricella's $F_C$

## TL;DR

This paper determines the fundamental group of the non-singular locus of Lauricella's hypergeometric functions by providing explicit generators and relations, advancing understanding of its topological structure.

## Contribution

It introduces a specific set of generators and relations for the fundamental group, offering a detailed algebraic description of the non-singular locus.

## Key findings

- Explicit generators for the fundamental group
- Relations among generators established
- Enhanced understanding of the topology of Lauricella's functions

## Abstract

In this paper, we give a set of generators and relations of the fundamental group of the non-singular locus of Lauricella's hypergeometric functions