Virtually abelian Kähler and projective groups

Abstract

We characterise the virtually abelian groups which are fundamental groups of compact Kähler manifolds and of smooth projective varieties. We show that a virtually abelian group is Kähler if and only if it is projective. In particular, this allows to describe the Kähler condition for such groups in terms of integral symplectic representations.

Cited by in corpus (1)

• The fundamental group of compact K{ä}hler threefolds