Quotients resolubles ou nilpotents des groupes de Kaehler orbifoldes

TL;DR

This paper extends known results about Green-Lazarsfeld sets and solvable or nilpotent quotients from Kaehler groups to compact Kaehler orbifolds with finite integral multiplicities, using reduction techniques.

Contribution

It generalizes the understanding of quotients of Kaehler groups to the orbifold setting, broadening the scope of previous results.

Findings

Extension of Green-Lazarsfeld set results to orbifolds

Characterization of solvable and nilpotent quotients in orbifold context

Reduction method from orbifolds to manifolds

Abstract

The results known for Green-Lazarsfeld sets and solvable or nilpotent quotients of Kaehler groups are extended to the class of (compact Kaehler) geometric orbifolds with finite and integral multiplicities. The proofs are by reduction to the known case of compact Kaehler manifolds.