Title
Arithmetic (1;e)-curves and Belyĭ maps.
Abstract
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.
Year
DOI
Venue
2012
10.1090/S0025-5718-2012-02560-9
MATHEMATICS OF COMPUTATION
Field
DocType
Volume
Differential equation,Hypergeometric distribution,Triangle group,Commensurability (mathematics),Algebra,Mathematical analysis,Algebraic curve,Arithmetic,Mathematics
Journal
81
Issue
ISSN
Citations 
279
0025-5718
0
PageRank 
References 
Authors
0.34
4
1
Name
Order
Citations
PageRank
Jeroen Sijsling122.27