3 papers
math.AG2025
On the Zariski density of rational curves on IHS manifolds
Pietro Beri, Giovanni Mongardi, Gianluca Pacienza
In analogy with recent works on surfaces, we study the existence of infinitely many ruled divisors on projective irreducible holomorphic symplectic (IHS) manifolds. We prove s…
math.AG2025
A birational involution
Pietro Beri, Laurent Manivel
Given a general K3 surface S of degree 18, lattice theoretic considerations allow to predict the existence of an anti-symplectic birational involution of the Hilbert cube $S^{…
math.AG2025
More birational involutions
Pietro Beri, Laurent Manivel
For a very general polarized K3 surface of degree , we describe in geometrical terms a birational involution of the Hilbert scheme of points on the surface,…