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.

Source: HAL:hal-02525803v3

Volume: Volume 5

Published on: November 16, 2021

Accepted on: September 1, 2021

Submitted on: April 23, 2020

Keywords: fundamental group,quotients by finite group,orbifolds,[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Funding:

- Source : HAL
*Algebraic and Kähler geometry*; Funder: European Commission; Code: 670846; Call ID: ERC-2014-ADG; Projet Financing: H2020*Groupes fondamentaux, Théorie de Hodge et Motifs*; Funder: French National Research Agency (ANR); Code: ANR-16-CE40-0011

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