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| Main Authors: | , |
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| Formato: | Preprint |
| Publicado em: |
2020
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| Assuntos: | |
| Acesso em linha: | https://arxiv.org/abs/2004.04135 |
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Sumário:
- 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.