Numerical calculation of three-point branched covers of the projective line

Autor:	Klug, Michael, Musty, Michael, Schiavone, Sam, Voight, John
Rok vydání:	2013
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry Mathematics - Group Theory Mathematics - Numerical Analysis
Zdroj:	LMS J. Comput. Math. 17 (2014) 379-430
Druh dokumentu:	Working Paper
DOI:	10.1112/S1461157014000084
Popis:	We exhibit a numerical method to compute three-point branched covers of the complex projective line. We develop algorithms for working explicitly with Fuchsian triangle groups and their finite index subgroups, and we use these algorithms to compute power series expansions of modular forms on these groups. Comment: 58 pages, 24 figures; referee's comments incorporated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1311.2081 Zobrazit plný text záznamu View this record from Arxiv