15 papers
A refinement of Stein factorization and deformations of surjective morphisms
Stefan Kebekus, Thomas Peternell
This paper is concerned with a refinement of the Stein factorization, and with applications to the study of deformations of surjective morphisms. We show that every surjective morp…
Geometry of chains of minimal rational curves
Jun-Muk Hwang, Stefan Kebekus
Chains of minimal degree rational curves have been used as an important tool in the study of Fano manifolds. Their own geometric properties, however, have not been studied much. Th…
Holomorphic maps onto varieties of non-negative Kodaira dimension
Jun-Muk Hwang, Stefan Kebekus, Thomas Peternell
A classical result in complex geometry says that the automorphism group of a manifold of general type is discrete. It is more generally true that there are only finitely many surje…
Lines on contact Manifolds IIb
Stefan Kebekus
Let X be a complex-projective contact manifold whose second Betti-number is one. It has long been conjectured that X should then be rational-homogeneous, or equivalently, that ther…
Characterizing the projective space after Cho, Miyaoka and Shepherd-Barron
Stefan Kebekus
In this paper we give a short and elementary proof of a characterization of the projective space in terms of rational curves which was conjectured by Mori and Mukai. A proof was fi…
A reduction map for nef line bundles
Thomas Bauer, Frederic Campana, Thomas Eckl +5
In a recent preprint, H. Tsuji gave a number of interesting assertions on the structure of pseudo-effective line bundles on projective manifolds. In particular, he postulated the e…