4 papers
A contraction theorem for divisors fibering over a curve
Andreas Höring, Thomas Peternell
Given a Q-Cartier divisor admitting a fibration onto a curve we give sufficient conditions for the existence of a bimeromorphic contraction contract…
Projectivity criteria for Kähler morphisms
Benoît Claudon, Andreas Höring
In this short note we prove two projectivity criteria for fibrations between mildly singular compact Kähler spaces. They are the relative versions of the celebrated criteria of Kod…
Erratum and addendum to the paper: Abundance for Kähler threefolds
Frédéric Campana, Andreas Höring, Thomas Peternell
In this text we signal a serious gap in the proof of the main theorem of our paper and explain which parts of the statement remain valid. In fact, the main theorem remains valid un…
Direct images of pseudoeffective cotangent bundles
Junyan Cao, Andreas Höring
Let A be an elliptic curve, and let be the Serre vector bundle on A. A famous example of Demailly-Peternell-Schneider shows that the tautological class of contains a un…