Uniruled varieties with split tangent bundle
Algebraic Geometry
2017-11-10 v3 Complex Variables
Abstract
Beauville asked if a compact K\"ahler manifold with split tangent bundle has a universal covering that is a product of manifolds. We use Mori theory and elementary results about holomorphic foliations to study this problem for projective uniruled varieties. In particular we obtain an affirmative answer for rationally connected varieties in any dimension and uniruled varieties in dimension 4.
Cite
@article{arxiv.math/0505327,
title = {Uniruled varieties with split tangent bundle},
author = {Andreas Höring},
journal= {arXiv preprint arXiv:math/0505327},
year = {2017}
}
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