4 papers
Stein complements in compact Kähler manifolds
Andreas Höring, Thomas Peternell
Given a projective or compact Kähler manifold X and a (smooth) hypersurface Y, we study conditions under which could be Stein. We apply this in particular to the ca…
Fano manifolds with big tangent bundle: a characterisation of
Andreas Höring, Jie Liu
Let X be a Fano manifold with Picard number one such that the tangent bundle T_X is big. If X admits a rational curve with trivial normal bundle, we show that X is isomorphic to th…
Examples of Fano manifolds with non-pseudoeffective tangent bundle
Andreas Höring, Jie Liu, Feng Shao
Let be a Fano manifold. While the properties of the anticanonical divisor and its multiples have been studied by many authors, the positivity of the tangent bundle …
Anticanonical system of Fano fivefolds
Andreas Höring, Robert Śmiech
We show that any Fano fivefold with canonical Gorenstein singularities has an effective anticanonical divisor. Moreover,if a general element of the anticanonical system is reduced,…