前同余曲线与裤子复合体的自同构

IF 0.8 2区数学 Q2 MATHEMATICS Journal of Topology Pub Date : 2023-07-19 DOI:10.1112/topo.12306

Marco Boggi, Louis Funar

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引用次数: 2

摘要

本文通过其在相关的普协曲线和裤子复形上的作用，研究了普协映射类群的自同构群。我们的主要结果是关于裤子复形的过程完备的一个刚性定理。作为一个应用，我们证明了光滑代数曲线的模栈在procongruence设置中满足弱的anabelian性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Automorphisms of procongruence curve and pants complexes

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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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.