Automorphisms of procongruence curve and pants complexes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866929324510150656 |
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| author | Boggi, Marco Funar, Louis |
| author_facet | Boggi, Marco Funar, Louis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_04135 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Automorphisms of procongruence curve and pants complexes Boggi, Marco Funar, Louis Geometric Topology Algebraic Geometry Group Theory 11R32, 14D23, 20E18, 20F34, 57M10 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. |
| title | Automorphisms of procongruence curve and pants complexes |
| topic | Geometric Topology Algebraic Geometry Group Theory 11R32, 14D23, 20E18, 20F34, 57M10 |
| url | https://arxiv.org/abs/2004.04135 |