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

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

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 g...

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Veröffentlicht in:LMS journal of computation and mathematics 2014, Vol.17 (1), p.379-430
Hauptverfasser: Klug, Michael, Musty, Michael, Schiavone, Sam, Voight, John
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container_title LMS journal of computation and mathematics
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creator Klug, Michael
Musty, Michael
Schiavone, Sam
Voight, John
description 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.
doi_str_mv 10.1112/S1461157014000084
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title Numerical calculation of three-point branched covers of the projective line
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