Automorphisms of procongruence curve and pants complexes

被引：1

作者：

Boggi, Marco ^{[1
,3
]}

Funar, Louis ^{[2
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estadist, Niteroi, RJ, Brazil

[2] Univ Grenoble Alpes, Inst Fourier, CNRS, Grenoble, France

[3] Univ FederalFluminense, Inst Matemat & Estadist, BR-24210200 Niteroi, RJ, Brazil

来源：

JOURNAL OF TOPOLOGY | 2023年 / 16卷 / 03期

关键词：

ANABELIAN GEOMETRY; FUNDAMENTAL-GROUPS; TEICHMULLER; MODULI;

D O I：

10.1112/topo.12306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：936 / 989

页数：54

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