Uniformisation in dimension four: towards a conjecture of Iitaka
Algebraic Geometry
2017-11-07 v2
Abstract
Let X be a compact K\"ahler manifold whose universal covering is . A conjecture of Iitaka claims that X is a torus, up to finite \'etale cover. We prove this conjecture in various cases in dimension four. We also show that in the projective case Iitaka's conjecture is a consequence of the non-vanishing conjecture.
Keywords
Cite
@article{arxiv.1103.5392,
title = {Uniformisation in dimension four: towards a conjecture of Iitaka},
author = {Andreas Höring and Thomas Peternell and Ivo Radloff},
journal= {arXiv preprint arXiv:1103.5392},
year = {2017}
}
Comments
16 pages, changed metadata