论文标题

二维Galois表示的模量堆栈的局部几何形状

Local geometry of moduli stacks of two-dimensional Galois representations

论文作者

Caraiani, Ana, Emerton, Matthew, Gee, Toby, Savitt, David

论文摘要

我们构建了P-ADIC局部场的绝对Galois组的二维Mod P表示的模量堆栈,并通过具有驯服下降数据的二维Breuil-Kisin模块的模量堆栈的分辨率。我们通过将这些模量堆栈的局部几何形状与超级和iwahori水平的Shimura品种的局部模型进行了比较。

We construct moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field, as well as their resolutions by moduli stacks of two-dimensional Breuil-Kisin modules with tame descent data. We study the local geometry of these moduli stacks by comparing them with local models of Shimura varieties at hyperspecial and Iwahori level.

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