14 citations · 55 across the 17 of their papers we have counts for
27 papers
A semiampleness result for hyperkähler fourfolds and smoothings of Lagrangian subvarieties
Andreas Höring, Vladimir Lazić, Christian Lehn
We give a geometric proof of the following statement: let be a smooth hyperkähler fourfold such that the Picard group is generated by a line bundle that is nef, non-trivial…
Canonical extensions of ruled surfaces over elliptic curves
Francesco Antonio Denisi, Andreas Höring
Let be a line bundle of negative degree on an elliptic curve . While the ruled surface is one of the simplest varieties in algebraic…
Singularities of totally invariant hypersurfaces of endomorphisms
Amaël Broustet, Andreas Höring
Let be a polarised endomorphism of a complex projective manifold, and let be a reduced totally invariant hypersurface. We prove that every irreducible…
Fano fourfolds with large anticanonical base locus
Andreas Höring, Saverio Andrea Secci
A famous theorem of Shokurov states that a general anticanonical divisor of a smooth Fano threefold is a smooth K3 surface. This is quite surprising since there are several example…
Symmetric tensors on the intersection of two quadrics and Lagrangian fibration
A. Beauville, A. Etesse, A. Höring +2
Let X be a n-dimensional (smooth) intersection of two quadrics, and let T*X be its cotangent bundle. We show that the algebra of symmetric tensors on X is a polynomial algebra in n…
The cotangent bundle of K3 surfaces of degree two
Fabrizio Anella, Andreas Höring
K3 surfaces have been studied from many points of view, but the positivity of the cotangent bundle is not well understood. In this paper we explore the surprisingly rich geometry o…
Algebraic integrability of foliations with numerically trivial canonical bundle
Andreas Höring, Thomas Peternell
Given a reflexive sheaf on a mildly singular projective variety, we prove a flatness criterion under certain stability conditions. This implies the algebraicity of leaves for suffi…
Bimeromorphic geometry of Kähler threefolds
Andreas Höring, Thomas Peternell
We describe the recently established minimal model program for (non-algebraic) Kähler threefolds as well as the abundance theorem for these spaces.
The fundamental group of compact K{ä}hler threefolds
Benoît Claudon, Andreas Höring, Hsueh-Yung Lin
Let be a compact K{ä}hler manifold of dimension three. We prove that there exists a projective manifold such that . We also prove the bimeromorphic e…
Totally invariant divisors of endomorphisms of projective spaces
Andreas Höring
Totally invariant divisors of endomorphisms of the projective space are expected to be always unions of linear spaces. Using logarithmic differentials we establish a lower bound fo…
Numerical characterisation of quadrics
Thomas Dedieu, Andreas Höring
Let X be a Fano manifold such that every rational curve in X has anticanonical degree at least the dimension of X. We prove that X is a projective space or a quadric.
Mori fibre spaces for Kähler threefolds
Andreas Höring, Thomas Peternell
Let X be a compact Kaehler threefold such that the base of the MRC-fibration has dimension two. We prove that X is bimeromorphic to a Mori fibre space. Together with our earlier re…
Fano varieties with small non-klt locus
Mauro C. Beltrametti, Andreas Höring, Carla Novelli
Let X be a Fano variety of index k such that the non-klt locus Nklt(X) is not empty. We prove that Nklt(X) has dimension at least k-1 and equality holds if and only if Nklt(X) is a…
Manifolds with nef anticanonical bundle
Junyan Cao, Andreas Höring
Let X be a compact Kähler manifold such that the anticanonical bundle is nef. A classical conjecture claims that the Albanese map is submersive. We prove this conjecture if…
Minimal models for Kähler threefolds
Andreas Höring, Thomas Peternell
Let X be a compact Kähler threefold that is not uniruled. We prove that X has a minimal model.
Singularities of varieties admitting an endomorphism
Amaël Broustet, Andreas Höring
Let X be a normal variety such that is Q-Cartier, and let be a finite surjective morphism of degree at least two. We establish a close relation between t…
Compact Kähler manifolds with compactifiable universal cover
Benoît Claudon, Andreas Hoering
Let X be a compact Kähler manifold such that the universal cover admits a compactification. We conjecture that the fundamental group is almost abelian and reduce it to a classical…
Mori contractions of maximal length
Andreas Höring, Carla Novelli
We prove a relative version of the theorem of Cho, Miyaoka and Shepherd-Barron: a Mori fibre space of maximal length is birational to a projective bundle.
Uniformisation in dimension four: towards a conjecture of Iitaka
Andreas Höring, Thomas Peternell, Ivo Radloff
Let X be a compact Kähler manifold whose universal covering is . A conjecture of Iitaka claims that X is a torus, up to finite étale cover. We prove this conjecture in…
Anticanonical divisors and curve classes on Fano manifolds
Andreas Höring, Claire Voisin
It is well known that the Hodge conjecture with rational coefficients holds for degree 2n-2 classes on complex projective n-folds. In this paper we study the more precise question…
Algebraic foliations defined by quasi-lines
Laurent Bonavero, Andreas Höring
Let X be a projective manifold containing a quasi-line l. An important difference between quasi-lines and lines in the projective space is that in general there is more than one qu…
Non-algebraic compact Kähler threefolds admitting endomorphisms
Andreas Höring, Thomas Peternell
We classify non-algebraic compact Kähler threefolds admitting an endomorphism of degree at least two.
Effective non-vanishing conjectures for projective threefolds
Amaël Broustet, Andreas Höring
Let X be a smooth projective threefold, and let A be an ample line bundle such that is nef. We show that if or is pseudoeffective, the adjoint bundle h…
Counting conics in complete intersections
Laurent Bonavero, Andreas Höring
We count the number of conics through two general points in complete intersections when this number is finite and give an application in terms of quasi-lines.