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.
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页码：936 / 989
页数：54
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