Genus formula for modular curves of D-elliptic sheaves
classification
🧮 math.NT
math.AG
keywords
curvesellipticformulamodularsheavesgenusattainbound
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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.
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