Compact K\"ahler manifolds with compactifiable universal cover
Algebraic Geometry
2014-10-13 v1
Abstract
Let X be a compact K\"ahler manifold such that the universal cover admits a compactification. We conjecture that the fundamental group is almost abelian and reduce it to a classical conjecture of Iitaka.
Cite
@article{arxiv.1205.1415,
title = {Compact K\"ahler manifolds with compactifiable universal cover},
author = {Benoît Claudon and Andreas Hoering},
journal= {arXiv preprint arXiv:1205.1415},
year = {2014}
}
Comments
With an appendix by Fr\'ed\'eric Campana (entitled "Abelianity, Iitaka and S conjectures"). 17 pages, no figure