Genus formula for modular curves of D -elliptic sheaves

Mihran Papikian

doi:10.1007/s00013-009-3102-9

Genus formula for modular curves of D -elliptic sheaves

Mihran Papikian

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	237-250
Number of pages	14
Journal	Archiv der Mathematik
Volume	92
Issue number	3
DOIs	https://doi.org/10.1007/s00013-009-3102-9
State	Published - Mar 2009

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00013-009-3102-9

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title = "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.",

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

Abstract

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