2 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
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…