Geodesic
Regular models of modular curves in prime level over $\mathbb{Z}_{p}^{\mathrm{ur}}$
Documenta mathematica, Tome 29 (2024) no. 5, pp. 1017-1058

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We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of GL2​(Fp​) (for p any prime). We then compute the group of connected components of the fiber at p of the Néron model of their Jacobians.
DOI : 10.4171/dm/974
Classification : 11G18, 11G20, 14G35
Mots-clés : modular curves, regular models of curves 
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     author = {Bas Edixhoven and Pierre Parent},
     title = {Regular models of modular curves in prime level over $\mathbb{Z}_{p}^{\mathrm{ur}}$},
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Bas Edixhoven; Pierre Parent. Regular models of modular curves in prime level over $\mathbb{Z}_{p}^{\mathrm{ur}}$. Documenta mathematica, Tome 29 (2024) no. 5, pp. 1017-1058. doi: 10.4171/dm/974

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