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

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

2009-01-23

arxiv.org/abs/0901.3641v1

Mathematics

Number Theory

13 pages, 2 tables

Scientific paper

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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