A. Höring

collaborators

3 papers

math.AG2025

Fixed divisors on hyperkÃ¤hler manifolds

Daniele Agostini, Andreas HÃ¶ring

Let $X$ be a hyperkÃ¤hler manifold, and let $A$ be a nef and big divisor on $X$ . We show that the fixed part of the linear system $∣ A ∣$ is reduced and as a consequence $∣2 A ∣$ is mo…

math.AG2024

Normal split divisors in rational homogeneous spaces

Enrica Floris, Andreas HÃ¶ring

We show that a divisor in a rational homogenous variety with split normal sequence is the preimage of a hyperplane section in either the projective space or a quadric.

math.AG2024

Fano fourfolds with large anticanonical base locus

Andreas HÃ¶ring, 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…