8 papers · 1 filter
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 LaziÄ, 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…