论文标题
$ \ text {gl} _2 $的Emerton-Gee堆栈组件的平滑度
Smoothness of components of the Emerton-Gee stack for $\text{GL}_2$
论文作者
论文摘要
令$ k $为$ \ mathbb {q} _p $的有限未扩展，其中$ p> 2 $。 [CEGS22B]和[EG23]构建了一个由$ k $的绝对Galois组的二维mod $ p $表示的模量堆栈。我们表明，该堆栈中的大多数不可还原组件（包括几个非类别的组件）是光滑仿射方案的商的同构。我们还使用此商演示文稿来计算这些组件上的全局部分。
Let $K$ be a finite unramified extension of $\mathbb{Q}_p$, where $p>2$. [CEGS22b] and [EG23] construct a moduli stack of two dimensional mod $p$ representations of the absolute Galois group of $K$. We show that most irreducible components of this stack (including several non-generic components) are isomorphic to quotients of smooth affine schemes. We also use this quotient presentation to compute global sections on these components.
