34 citations · 69 across the 14 of their papers we have counts for
18 papers
Hyperkähler sixfolds, abelian fourfolds of Weil type and a Hodge class
Bert van Geemen, Antonio Rapagnetta
There are now several proofs of the Hodge conjecture for the general abelian fourfold of Weil type with trivial discriminant. This paper provides another one. The abelian fourfolds…
On the genus of a curve in a projective -fold
Vincenzo Di Gennaro, Antonio Rapagnetta, Pietro Sabatino
Let be a projective factorial variety of dimension , degree , with at worst isolated singularities. Assume that the Picard group of is generated by…
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…
Monodromy and birational geometry of O'Grady's sixfolds
Giovanni Mongardi, Antonio Rapagnetta
We prove that the bimeromorphic class of a hyperkähler manifold deformation equivalent to O'Grady's six dimensional one is determined by the Hodge structure of its Beauville-Bogomo…
The Hodge numbers of O'Grady 10 via Ngô strings
Mark Andrea A. de Cataldo, Antonio Rapagnetta, Giulia Saccà
We determine the Hodge numbers of the hyper-Kähler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of a refinement of the Ngô Support T…