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

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

8 Nov 2013arXiv:1311.2081links table onlyarchive 2025-07-28

Michael Klug, Michael Musty, Sam Schiavone, John Voight

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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.

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