Virtually abelian Kähler and projective groups

Details Virtually abelian Kähler and projective groups Virtually abelian Kähler and projective groups

2009-11-12

arxiv.org/abs/0911.2459v2

Abhandlungen aus dem Mathematischen Seminar der Universit\"at Hamburg: Volume 81, Issue 2 (2011), Page 191-213

Mathematics

Differential Geometry

Scientific paper

10.1007/s12188-011-0056-1

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

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