论文标题
Procongruence曲线和裤子综合体的自动形态
Automorphisms of procongruence curve and pants complexes
论文作者
论文摘要
在本文中，我们通过其对相关的Promongruence曲线和裤子复合物的作用来研究Procongruence映射类组的自动形态群体。我们的主要结果是对裤子综合体的过程完成的刚性定理。作为一个应用程序，我们证明，平滑代数曲线的模量堆叠满足弱质量的弱体性能。
In this paper we study the automorphism group of the procongruence mapping class group through its action on the associated procongruence curve and pants complexes. Our main result is a rigidity theorem for the procongruence completion of the pants complex. As an application we prove that moduli stacks of smooth algebraic curves satisfy a weak anabelian property in the procongruence setting.
