As one of the first applications of Mori theory, Mori andMukai classified (smooth) Fano threefolds with Picard (or second Betti) number at least 2. In differential geometric terms, this is the same… (More)

In the classification of Fano varieties, those which are not “Gino Fano”, i.e., for which −KX is ample but not very ample, are usually annoying. In the beginning of his classification of Fano… (More)

where k > 1, does not only have consequences for E, but also has strong consequences for the base manifold X . The following result is in a sense an infinitesimal converse to a result of Biswas,… (More)

to some Gorenstein Fano variety, again with at most canonical singularities. Curves contracted by ψ are exactly curves of anticanonical degree zero. We say that Y is an anticanonical model of X .… (More)

Complex projective space Pn, étale quotients of complex tori and compact complex manifolds whose universal cover is the unit ball B ⊂ C are standard examples of complex Kähler manifolds admitting a… (More)

In general, a section θ ∈ H(V,ΩV (1)) will neither induce a bundle sequence like (0.1), nor will dθ∧θ ∈ H(V, ∧3 ΩV ⊗ØV (2)), the section deciding on integrability, be either free of zeroes or… (More)

1.) Pm(C), 2.) smooth abelian families, 3.) manifolds with universal covering Bm(C). Here Bm(C) denotes the ball in C , the non compact dual of Pm(C) in the sense of hermitian symmetric spaces. The… (More)