19 citations · 31 across the 14 of their papers we have counts for
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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 .
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 and we compute the Huybrechts--Riemann--Roch polynomial for irreducible symplectic varieties that are locally trivial deformation equivale…
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…
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 $\m…
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…