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Article Dans Une Revue Journal of topology Année : 2023

Automorphisms of procongruence curve and pants complexes

Louis Funar
Marco Boggi
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03371235 , version 1 (08-10-2021)

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Louis Funar, Marco Boggi. Automorphisms of procongruence curve and pants complexes. Journal of topology, 2023, 16, pp.936-989. ⟨10.1112/topo.12306⟩. ⟨hal-03371235⟩

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