On hyperelliptic modular curves over function fields

Mihran Papikian

doi:10.1007/s00013-009-3120-7

On hyperelliptic modular curves over function fields

Mihran Papikian

Mathematics

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

3 Scopus citations

Abstract

We prove that there are only finitely many modular curves of D-elliptic sheaves over _q(T) which are hyperelliptic. In odd characteristic we give a complete classification of such curves.

Original language	English (US)
Pages (from-to)	291-302
Number of pages	12
Journal	Archiv der Mathematik
Volume	92
Issue number	4
DOIs	https://doi.org/10.1007/s00013-009-3120-7
State	Published - Apr 2009

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00013-009-3120-7

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title = "On hyperelliptic modular curves over function fields",

abstract = "We prove that there are only finitely many modular curves of D-elliptic sheaves over q(T) which are hyperelliptic. In odd characteristic we give a complete classification of such curves.",

author = "Mihran Papikian",

note = "Funding Information: in part by NSF grant DMS-0801208 and",

year = "2009",

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doi = "10.1007/s00013-009-3120-7",

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N2 - We prove that there are only finitely many modular curves of D-elliptic sheaves over q(T) which are hyperelliptic. In odd characteristic we give a complete classification of such curves.

AB - We prove that there are only finitely many modular curves of D-elliptic sheaves over q(T) which are hyperelliptic. In odd characteristic we give a complete classification of such curves.

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M3 - Article

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

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On hyperelliptic modular curves over function fields

Abstract

All Science Journal Classification (ASJC) codes

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