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Article Dans Une Revue Research in Number Theory Année : 2023

On smooth plane models for modular curves of Shimura type

Résumé

In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 10, no such curve exists. For modular curves of Shimura type we show that none can admit a smooth plane model of degree 5, 6 or 7.

Dates et versions

hal-03609786 , version 1 (15-03-2022)

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Citer

Samuele Anni, Eran Assaf, Elisa Lorenzo García. On smooth plane models for modular curves of Shimura type. Research in Number Theory, 2023, 9 (2), pp.article n°21. ⟨10.1007/s40993-022-00409-7⟩. ⟨hal-03609786⟩
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