Genus formula for modular curves of $D$-elliptic sheaves

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We prove a genus formula for modular curves of $D$-elliptic sheaves. We use this formula to show that the reductions of modular curves of $D$-elliptic sheaves attain the Drinfeld-Vladut bound as the degree of the discriminant of $D$ tends to infinity.
13 pages, 2 tables

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Number Theory, Algebraic Geometry, 11G09 (Primary); 11G18, 11G20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/217222

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3641
 http://arxiv.org/abs/0901.3641

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arXiv