19 citations · 31 across the 14 of their papers we have counts for
16 papers
Algebraic entropy of birational automorphism groups in families of hyper-Kähler manifolds
Francesco Antonio Denisi, Keiji Oguiso, Claudio Onorati +2
In this short note, we study the behavior of the algebraic entropy of birational automorphism groups in families of projective hyper-Kähler manifolds.
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 .
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…
Modular vector bundles with and without moduli
Enrico Fatighenti, Claudio Onorati
If is the Fano variety of lines of a smooth cubic fourfold, then we show that the restriction to of any Schur functor of the tautological quoti…
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…
Symplectic rigidity of O'Grady's tenfolds
Luca Giovenzana, Annalisa Grossi, Claudio Onorati +1
We prove that any symplectic automorphism of finite order of an irreducible holomorphic symplectic manifold of O'Grady's 10-dimensional deformation type is trivial.
Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds
Francesco Meazzini, Claudio Onorati
We study infinitesimal deformations of autodual and hyper-holomorphic connections on complex vector bundles on hyper-Kähler manifolds of arbitrary dimension. In particular, we desc…
On the period of Li, Pertusi and Zhao's symplectic variety
Franco Giovenzana, Luca Giovenzana, Claudio Onorati
We extend classical results of Perego and Rapagnetta on moduli spaces of sheaves of type OG10 to moduli spaces of Bridgeland semistable objects on the Kuznetsov component of a cubi…
Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type
Giovanni Mongardi, Claudio Onorati
In this paper we analyse the birational geometry of O'Grady ten dimensional manifolds, giving a characterisation of Kaehler classes and lagrangian fibrations. Moreover, we study sy…
Symplectic birational transformations of finite order on O'Grady's sixfolds
Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani
We prove that any symplectic automorphism of finite order on a manifold of type OG6 acts trivially on the Beauville--Bogomolov--Fujiki lattice and that any birational transformatio…
On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces
Claudio Onorati
We compute the monodromy group of irreducible holomorphic symplectic manifolds of OG10 type, confirming a conjecture of Markman.
Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
Claudio Onorati
Moduli spaces of polarised (with fixed polarisation type) irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on surfaces are not…