论文标题

$ {\ mathbb z} _p^{\ mathrm {ur}} $的定期模块化曲线模块曲线的常规模型

Regular models of modular curves in prime level over ${\mathbb Z}_p^{\mathrm{ur}}$

论文作者

Edixhoven, Bas, Parent, Pierre

论文摘要

我们给出了与$ {\ Mathrm {gl}} _ 2({\ Mathbb f} _p)$相关的(标准器)和非切割的Cartan子组相关的模块曲线模型(对于$ p $,$ p $任何prime,$ p \ ge 5 $)。然后,我们计算了其Jacobians的Néron模型的纤维的连接组件组。

We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of ${\mathrm{GL}}_2 ({\mathbb F}_p )$ (for $p$ any prime, $p\ge 5$). We then compute the group of connected components of the fiber at $p$ of the Néron model of their Jacobians.

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