6 papers
Birational automorphism groups in families of hyper-Kähler manifolds
Francesco Antonio Denisi, Claudio Onorati, Francesca Rizzo +1
We study the behavior of birational automorphism groups in families of projective hyper-Kähler manifolds.
Chern character of Schur bundles
Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati
Given a vector bundle , we give an explicit formula to compute Chern classes of Schur bundles in terms of those of .
A plethystic chain rule
Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati
We consider a derivation on the ring of symmetric functions and investigate its combinatorial, algebraic and geometric properties. More precisely, we show that $\…
The SYZ conjecture for singular moduli spaces of sheaves on K3 surfaces
Claudio Onorati, Ãngel David RÃos 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…
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…
Higher discriminants of vector bundles and Schur functors
Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati
We prove some closed formulas for the logarithmic Chern character of a locally free sheaf. The argument used is representation-theoretic and we connect these formulas with the acti…