5 citations · 17 across the 12 of their papers we have counts for
14 papers
Singular symplectic surfaces
Alice Garbagnati, Matteo Penegini, Arvid Perego
In this paper we classify all singular irreducible symplectic surfaces, i.e., compact, connected complex surfaces with canonical singularities that have a holomorphic symplectic fo…
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…
The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces
Arvid Perego, Antonio Rapagnetta
In this paper we study the second integral cohomology of moduli spaces of semistable sheaves on projective K3 surfaces. If is a projective K3 surface, a Mukai vector and $H…
Kobayashi-Hitchin correspondence for twisted vector bundles
Arvid Perego
We prove the Kobayashi-Hitchin correspondence and the approximate Kobayashi-Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds. More precisel…
Examples of irreducible symplectic varieties
Arvid Perego
Irreducible symplectic manifolds are one of the three building blocks of compact Kähler manifolds with numerically trivial canonical bundle by the Beauville-Bogomolov decomposition…
Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces
Arvid Perego, Antonio Rapagnetta
We show that the moduli spaces of sheaves on a projective K3 surface are irreducible symplectic varieties, and that the same holds for the fibers of the Albanese map of moduli spac…
Kählerness of moduli spaces of stable sheaves over non-projective K3 surfaces
Arvid Perego
We show that a moduli space of slope-stable sheaves over a K3 surface is an irreducible hyperkähler manifold if and only if its second Betti number is the sum of its Hodge numbers…
Moduli spaces of bundles over non-projective K3 surfaces
Arvid Perego, Matei Toma
We study moduli spaces of sheaves over non-projective K3 surfaces. More precisely, if is a Mukai vector on a K3 surface with prime to and is a "generic"…
Factoriality properties of moduli spaces of sheaves on abelian and K3 surfaces
Arvid Perego, Antonio Rapagnetta
In this paper we complete the determination of the index of factoriality of moduli spaces of semistable sheaves on an abelian or projective K3 surface . If is a Mukai vec…
A note on deformations of moduli spaces of sheaves on K3 surfaces
Arvid Perego
In this paper we study deformation classes of moduli spaces of sheaves on a projective K3 surface. More precisely, let and be two polarized K3 surfaces, $m\in\m…
Deformation of the O'Grady moduli spaces
Arvid Perego, Antonio Rapagnetta
In this paper we study moduli spaces of sheaves on an abelian or projective K3 surface. If is a K3, is a Mukai vector on , where is primitive and , and $…
The 2-Factoriality of the O'Grady Moduli Spaces
Arvid Perego
The aim of this work is to show that the moduli space introduced by O'Grady in \cite{OG1} is a factorial variety. Namely, is the moduli space of semistable sh…
Ramification of Quaternion Algebras over Stable Elliptic Surfaces
Arvid Perego
We give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X.
A Gabriel Theorem for Coherent Twisted Sheaves
Arvid Perego
We give a generalization of Gabriel's Theorem on coherent sheaves to the case of coherent twisted sheaves on a smooth variety X over a field k. We show that the category Coh(X,α) d…