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math.AG2025
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…
math.AG2025
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…
math.AG2025
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…