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arXiv · 1611.01044

On the $p$-adic periods of the modular curve $X(Γ_0(p) \cap Γ(2))$

Adel Betina·Emmanuel Lecouturier
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Abstract

We prove a variant of Oesterlé's conjecture about $p$-adic periods of the modular curve $X_0(p)$, with an additional $Γ(2)$-structure. We use de Shalit's techniques and $p$-adic uniformization of curves whose reduction is semi-stable.

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Adel Betina, Emmanuel Lecouturier. 2017-03-14. On the $p$-adic periods of the modular curve $X(Γ_0(p) \cap Γ(2))$. https://arxiv.org/abs/1611.01044

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