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

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.

13 pages, 2 tables

Cited by in corpus (1)

• Trees, quaternion algebras and modular curves