Year: 2023
Type: preprint
Abstract: We derive presentation and relations for a group of compact Riemann surface that is given as branched cover of the sphere. In the case that one of the permutations is of full cycle of the form $(1...n)$ we derive a straightforward process to obtain the standard presentation of the fundamental group of Algebraic curve in the form $\prod_{i=1}^g[a_i,b_i]=1$
Source: arXiv (Cornell University)
Author: Kopeliovich, Yaacov
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4388891226