ARITHMETIC (1; e)-CURVES AND BELYI MAPS

被引：7

作者：

Sijsling, Jeroen ^{[1
]}

机构：

[1] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands

来源：

MATHEMATICS OF COMPUTATION | 2012年 / 81卷 / 279期

关键词：

SHIMURA CURVES; FUCHSIAN-GROUPS; TRIANGLE GROUPS; GENUS; SUBGROUPS; EQUATIONS;

D O I：

10.1090/S0025-5718-2012-02560-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the theory of Belyi maps, we calculate the algebraic curves associated to the Fuchsian groups of signature (1; e) that are commensurable with a triangle group, along with the Picard-Fuchs differential equations on these curves, which are related to pullbacks of hypergeometric differential equations. We focus particularly on the (1; e)-groups that are arithmetic.

引用

页码：1823 / 1855

页数：33

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