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On hyperelliptic modular curves over function fields

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

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Correspondence to Mihran Papikian.

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Received: 25 November 2008

The author was supported in part by NSF grant DMS-0801208 and Humboldt Research Fellowship.

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Papikian, M. On hyperelliptic modular curves over function fields. Arch. Math. 92, 291–302 (2009). https://doi.org/10.1007/s00013-009-3120-7

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  • DOI: https://doi.org/10.1007/s00013-009-3120-7

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