164 citations · 758 across the 78 of their papers we have counts for
5 papers · 2 filters
Contact Kaehler Manifolds: Symmetries and Deformations
Thomas Peternell, Florian Schrack
We study complex compact Kaehler manifolds carrying a contact structure. If is almost homogeneous and , then is a projectivised tangent bundle (this was…
Rationally connected manifolds and semipositivity of the Ricci curvature
Frédéric Campana, Jean-Pierre Demailly, Thomas Peternell
This work establishes a structure theorem for compact Kähler manifolds with semipositive anticanonical bundle. Up to finite étale cover, it is proved that such manifolds split holo…
On the Cone conjecture for Calabi-Yau manifolds with Picard number two
Vladimir Lazić, Thomas Peternell
Following a recent work of Oguiso, we calculate explicitly the groups of automorphisms and birational automorphisms on a Calabi-Yau manifold with Picard number two. When the group…
Reflexive differential forms on singular spaces -- Geometry and Cohomology
Daniel Greb, Stefan Kebekus, Thomas Peternell
Based on a recent extension theorem for reflexive differential forms, that is, regular differential forms defined on the smooth locus of a possibly singular variety, we study the g…
Contact Moishezon threefolds with second Betti number one
Jaroslaw Buczynski, Thomas Peternell
We prove that the only contact Moishezon threefold having second Betti number equal to one is the projective space.