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arXiv · 0901.3641

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

Mihran Papikian
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Abstract

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.

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Mihran Papikian. 2009-01-23. Genus formula for modular curves of $D$-elliptic sheaves. https://arxiv.org/abs/0901.3641

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