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On hyperelliptic modular curves over function fields
Authors:Mihran Papikian
Affiliation:(1) Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
Abstract: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. The author was supported in part by NSF grant DMS-0801208 and Humboldt Research Fellowship.
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000). 11G09  11G18
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