4 citations · 9 across the 18 of their papers we have counts for
22 papers
Fano varieties with split tangent sheaf
Andreas Höring
Let be a mildly singular Fano variety such that the tangent sheaf is a direct sum. We show that the direct factors are algebraically integrable, so the infinitesimal decomposit…
Classification of Fano fourfolds with large anticanonical base locus
Andreas Höring, Saverio Andrea Secci
We give a classification of smooth Fano fourfolds such that the base scheme of the anticanonical system is a smooth surface. As a consequence we show that there are exactly 22 defo…
Nonvanishing results for Kähler varieties
Andreas Höring, Vladimir Lazić, Christian Lehn
Nonvanishing theorems play a central role in birational geometry, since they derive geometric consequences from numerical information and constitute a crucial step towards abundanc…
Intersection of two quadrics: modular interpretation and Hitchin morphism
Vladimiro Benedetti, Andreas Höring, Jie Liu
The cotangent bundle of a smooth intersection of two quadrics admits a Lagrangian fibration determined by the intrinsic geometry of . We show that this fibration is a…
On the relative cone conjecture for families of IHS manifolds
Andreas Höring, Gianluca Pacienza, Zhixin Xie
We study the relative cone conjecture for families of -trivial varieties with vanishing irregularity. As an application we prove that the relative movable and the relative nef c…
A contraction theorem for divisors fibering over a curve
Andreas Höring, Thomas Peternell
Given a Q-Cartier divisor admitting a fibration onto a curve we give sufficient conditions for the existence of a bimeromorphic contraction contract…
Projectivity criteria for Kähler morphisms
Benoît Claudon, Andreas Höring
In this short note we prove two projectivity criteria for fibrations between mildly singular compact Kähler spaces. They are the relative versions of the celebrated criteria of Kod…
Klt degenerations of projective spaces
Andreas Höring, Thomas Peternell
We study degenerations of complex projective spaces into normal projective klt varieties . If the tangent sheaf of is semi-stable, we show that itself is a…
Erratum and addendum to the paper: Abundance for Kähler threefolds
Frédéric Campana, Andreas Höring, Thomas Peternell
In this text we signal a serious gap in the proof of the main theorem of our paper and explain which parts of the statement remain valid. In fact, the main theorem remains valid un…
Direct images of pseudoeffective cotangent bundles
Junyan Cao, Andreas Höring
Let A be an elliptic curve, and let be the Serre vector bundle on A. A famous example of Demailly-Peternell-Schneider shows that the tautological class of contains a un…
Normal split submanifolds of rational homogeneous spaces
Enrica Floris, Andreas Höring
Let be a submanifold of a rational homogeneous space such that the normal sequence splits. We prove that is also rational homogeneous.
Audio-Visual Face Reenactment
Madhav Agarwal, Rudrabha Mukhopadhyay, Vinay Namboodiri +1
This work proposes a novel method to generate realistic talking head videos using audio and visual streams. We animate a source image by transferring head motion from a driving vid…
A Nonvanishing Conjecture for Cotangent Bundles
Andreas Höring, Thomas Peternell
In this paper we study the positivity of the cotangent bundle of projective manifolds. We conjecture that the cotangent bundle is pseudoeffective if and only the manifold has non-z…
Twisted cotangent bundles of Hyperkähler manifolds
Fabrizio Anella, Andreas Höring
Let be a Hyperkähler manifold, and let be an ample divisor on . We give a lower bound in terms of the Beauville-Bogomolov form for the twisted cotangent bundle $Ω…
Adjoint -classes on threefolds
Andreas Höring
We answer a question of Filip and Tosatti concerning a basepoint-free theorem for transcendental -classes on threefolds.
A decomposition theorem for projective manifolds with nef anticanonical bundle
Junyan Cao, Andreas Höring
Let X be a simply connected projective manifold with nef anticanonical bundle. We prove that X is a product of a rationally connected manifold and a manifold with trivial canonical…
Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations
Andreas Höring
Let X be a normal projective variety, and let A be an ample Cartier divisor on X. We prove that the twisted cotangent sheaf is generically nef with respect to the p…
Manifolds with nef cotangent bundle
Andreas Höring
Generalising a classical theorem by Ueno, we prove structure results for manifolds with nef or semiample cotangent bundle.
Geometry of Brill-Noether loci on Prym varieties
Andreas Höring
Given the Prym variety of an étale double cover one can define analogues of the classical Brill-Noether loci on Jacobians of curves. Recent work by Lahoz and Naranjo shows that the…
On a conjecture of Beltrametti and Sommese
Andreas Höring
Let X be a projective manifold of dimension n. Beltrametti and Sommese conjectured that if A is an ample divisor such that is nef, then has non-zero globa…
Minimal classes on the intermediate Jacobian of a generic cubic threefold
Andreas Höring
Let X be a smooth cubic threefold. We can associate two objects to X: the intermediate Jacobian J and the Fano surface F parametrising lines on X. By a theorem of Clemens and Griff…
Uniruled varieties with split tangent bundle
Andreas Höring
Beauville asked if a compact Kähler manifold with split tangent bundle has a universal covering that is a product of manifolds. We use Mori theory and elementary results about holo…