Fundamental group of non-singular locus of Lauricella's $F_C$
Tomohide Terasoma
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.
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
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Taxonomy
TopicsMathematical functions and polynomials · Analytic and geometric function theory · Polynomial and algebraic computation