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arXiv · 0911.2459

Virtually abelian K\"ahler and projective groups

Oliver Baues·Johannes Riesterer
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Abstract

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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Oliver Baues, Johannes Riesterer. 2009-11-12. Virtually abelian K\"ahler and projective groups. https://doi.org/10.1007/s12188-011-0056-1

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