3 papers
math.AG2025
The SYZ conjecture for singular moduli spaces of sheaves on K3 surfaces
Claudio Onorati, Ángel David Ríos Ortiz
In this paper we prove the SYZ conjecture for irreducible symplectic varieties that are locally trivial deformation equivalent to moduli spaces of sheaves on K3 surfaces. As an int…
math.AG2025
Deformations of twisted sheaves and formality results
Francesco Meazzini, Claudio Onorati
We show that infinitesimal deformations of twisted sheaves are controlled by the DG Lie algebra of their derived automorphisms. We prove that such DG Lie algebra is formal for poly…
math.AG2023
Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces
Claudio Onorati, Arvid Perego, Antonio Rapagnetta
In this paper we study monodromy operators on moduli spaces of sheaves on K3 surfaces with non-primitive Mukai vectors . If we write , with and primit…