10 citations · 12 across the 6 of their papers we have counts for
7 papers
Fixed divisors on hyperkähler manifolds
Daniele Agostini, Andreas Höring
Let be a hyperkähler manifold, and let be a nef and big divisor on . We show that the fixed part of the linear system is reduced and as a consequence is mob…
Normal split divisors in rational homogeneous spaces
Enrica Floris, Andreas Höring
We show that a divisor in a rational homogenous variety with split normal sequence is the preimage of a hyperplane section in either the projective space or a quadric.
Fano threefolds with affine canonical extensions
Andreas Höring, Thomas Peternell
Let be a smooth Fano threefold such that a canonical extension of the tangent bundle is an affine manifold. We show that is rational homogeneous.
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,…