A. Höring

activity

20192022

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5 papers · 1 filter

math.AG2022

Fano threefolds with affine canonical extensions

Andreas Höring, Thomas Peternell

Let $M$ be a smooth Fano threefold such that a canonical extension of the tangent bundle is an affine manifold. We show that $M$ is rational homogeneous.

math.AG2021

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 $X ∖ Y$ could be Stein. We apply this in particular to the ca…

math.AG2021

Fano manifolds with big tangent bundle: a characterisation of $V_{5}$

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…

math.AG2020

Examples of Fano manifolds with non-pseudoeffective tangent bundle

Andreas Höring, Jie Liu, Feng Shao

Let $X$ be a Fano manifold. While the properties of the anticanonical divisor $- K_{X}$ and its multiples have been studied by many authors, the positivity of the tangent bundle $T_{X}$ …

math.AG2019

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,…