Abstract | ||
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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 Sijsling | 1 | 2 | 2.27 |