12 citations · 20 across the 8 of their papers we have counts for
5 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…
On the Classification of 3-dimensional SL_2(C)-varieties
Stefan Kebekus
In the present work we describe 3-dimensional complex SL_2-varieties where the generic SL_2-orbit is a surface. We apply this result to classify the minimal 3-dimensional projectiv…
Relatively Minimal Quasihomogeneous Projective 3-Folds
Stefan Kebekus
In the present work we classify the relatively minimal 3-dimensional quasihomogeneous complex projective varieties under the assumption that the automorphism group is not solvable.…
Simple Models of Quasihomogeneous Projective 3-Folds
Stefan Kebekus
Let X be a projective complex 3-fold, quasihomogeneous with respect to an action of a linear algebraic group. We show that X is a compactification of SL_2/G, G a discrete subgroup,…