22 citations · 134 across the 38 of their papers we have counts for
5 papers · 1 filter
Special Varieties and classification Theory
Frederic Campana
A new class of compact Kähler manifolds, called special, is defined, which are the ones having no surjective meromorphic map to an orbifold of general type. The special manifolds a…
Generalized Tsen theorem and rationally connected Fano fibrations
Frederic Campana, Thomas Peternell, Aleksandr Pukhlikov
We prove that a fibration X \to \Bbb P_1, the general fiber of which is a smooth Fano threefold, is rationally connected. The proof is based on a generalization of Tsen's classical…
Contact Singularities
Frédéric Campana, Hubert Flenner
A contact singularity is a normal singularity together with a holomorphic contact form on Sing in a neighbourhood of 0, i.e. has no z…
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…
Projective manifolds with splitting tangent bundles, I
Frederic Campana, Thomas Peternell
We investigate the universal cover of projective threefolds whose tangent bundle is a direct sum of subbundles in case the Kodaira dimension is not 1 and 2. We also prove results o…