ARITHMETIC (1; e)-CURVES AND BELYI MAPS

作者：Sijsling Jeroen^*

来源：Mathematics of Computation, 2012, 81(279): 1823-1855.

DOI：10.1090/S0025-5718-2012-02560-9

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.

• 出版日期2012-7