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Arithmetic $(1;e)$-curves and Belyĭ maps
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Sijsling, Juraj (2012) Arithmetic $(1;e)$-curves and Belyĭ maps. Mathematics of Computation, Vol.81 (No.279). pp. 1823-1855. doi:10.1090/S0025-5718-2012-02560-9 ISSN 0025-5718.
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Official URL: http://dx.doi.org/10.1090/S0025-5718-2012-02560-9
Abstract
Using the theory of Belyĭ maps, we calculate the algebraic curves associated to the Fuchsian groups of signature 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 -groups that are arithmetic.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Mathematics of Computation | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0025-5718 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.81 | ||||
Number: | No.279 | ||||
Page Range: | pp. 1823-1855 | ||||
DOI: | 10.1090/S0025-5718-2012-02560-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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