Heun equations coming from geometry |
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Authors: | Hossein Movasati Stefan Reiter |
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Institution: | 1. Instituto de Matem??tica Pura e Aplicada ?? IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, RJ, Brazil
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Abstract: | We give a list of Heun equations which are Picard-Fuchs associated to families of algebraic varieties. Our list is based on the classification of families of elliptic curves with four singular fibers done by Herfurtner. We also show that pull-backs of hypergeometric functions by rational Belyi functions with restricted ramification data give rise to Heun equations. |
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