arXiv subjects

Andreas Hoering

Publications and source records attributed to Andreas Hoering.

4 recordsLinked to original sources

arXiv2015

Abundance for Kaehler threefolds

Let X be a compact Kaehler threefold with terminal singularities such that K\_X is nef. We prove that K\_X is semiample.

math.AG↗

arXiv2012

Compact Kähler manifolds with compactifiable universal cover

Let X be a compact Kähler 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.

math.AG↗

arXiv2011

Algebraic varieties with quasi-projective universal cover

We prove that the universal cover of a normal, projective variety X is quasi-projective if and only if a finite, étale cover of X is a fiber bundle over an Abelian variety with simply connected fiber.

math.AG↗

arXiv2010

Threefolds with quasi-projective universal cover

We study compact Kähler threefolds X with infinite fundamental group whose universal cover can be compactified. Combining techniques from $L^2$ -theory, Campana's geometric orbifolds and the minimal model program we show that this condition imposes strong restrictions on the geometry of X. In particular we prove that if a projective threefold with infinite fundamental group has a quasi-projective universal cover, the latter is then isomorphic to the product of an affine space with a simply connected manifold.

math.AG↗