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math.AG2026
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…
math.AG2026
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…
math.AG2026
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…