68 citations · 107 across the 16 of their papers we have counts for
6 papers · 1 filter
Group Actions on S^6 and complex structures on P_3
Alan T. Huckleberry, Stefan Kebekus, Thomas Peternell
It is proved that if S^6 possesses an integrable complex structure, then there exists a 1-dimensional family of pairwise different exotic complex structures on P_3(C). This follows…
Projective Contact Manifolds
Stefan Kebekus, Thomas Peternell, Andrew J. Sommese +1
We prove that a projective contact manifold X with second Betti number at least 2 whose canonical bundle K_X is not nef, is always the projectivised tangent bundle P(T_Y) of a proj…
Kodaira Dimension of Subvarieties
Thomas Peternell, Michael Schneider, Andrew J. Sommese
In this article we study how the birational geometry of a normal projective variety is influenced by a normal subvariety One of the most basic examples in this c…
Holomorphic 2-forms on Complex Threefolds
Frederic Campana, Thomas Peternell
We study holomorphic 2-forms on projective (or compact Kaehler) threefolds not of general type and prove that in almost all cases the 2-form is created by some standard process. Th…
Threefolds with nef anticanonical bundles
Thomas Peternell, Fernando Serrano
We prove that the Albanese map of a smooth projective threefold, whose anticanonical bundle is nef, is a surjective submersion. We also investigate morphisms of threefolds to curve…
Towards a Mori theory on compact Kaehler threefolds,II
Thomas Peternell
We prove the existence of a Mori contraction on a compact Kaehler threefold whose canonical bundle is (analytically) not nef if the threefold can be approximated by projective thre…