On the fundamental group of compact Kähler orbifolds with nef anti-canonical bundle

Abstract

We show that the orbifold fundamental group of a compact Kähler orbifold with nef anti-canonical bundle is virtually nilpotent, which generalizes M.Păun’s results for manifolds [38, Theorem 1, Theorem 2]. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.