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

Genus formula for modular curves of $D$-elliptic sheaves
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$D$-椭圆滑轮模曲线的亏格公式

DOI:
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发表时间:
2009
期刊:
arXiv: Number Theory
影响因子:
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通讯作者:
M. Papikian
M. Papikian
中科院分区:
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文献类型:
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作者:
M. Papikian

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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.