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

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2013-11-08 DOI:10.1112/S1461157014000084

M. Klug, Michael D. Musty, S. Schiavone, J. Voight

引用次数: 24

Abstract

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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投影线三点分支盖的数值计算

给出了一种计算复射影线三点分支覆盖的数值方法。我们开发了明确处理Fuchsian三角群及其有限索引子群的算法，并使用这些算法计算了这些群上模形式的幂级数展开式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.