The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli

Rodolfo Aguilar Aguilar (1)

1 IF - Institut Fourier

We provide a description of the fundamental group of the quotient of a product of topological spaces X i, each admitting a universal cover, by a finite group G, provided that there is only a finite number of path-connected components in X g i for every g ∈ G. This generalizes previous work of Bauer-Catanese-Grunewald-Pignatelli and Dedieu-Perroni.

Domaines: Géométrie algébrique [math.AG]; Théorie des groupes [math.GR]

Rodolfo Aguilar Aguilar. The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli. 2020. ⟨hal-02525803v2⟩