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arxiv: 0901.3714 · v1 · submitted 2009-01-23 · 🧮 math.NT · math.AG

On hyperelliptic modular curves over function fields

classification 🧮 math.NT math.AG
keywords curveshyperellipticmodularcharacteristicclassificationcompleteellipticfields
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We prove that there are only finitely many modular curves of $D$-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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