7 citations · 15 across the 13 of their papers we have counts for
4 papers · 1 filter
On the Boucksom-Zariski decomposition for irreducible symplectic varieties and bounded negativity
Michał Kapustka, Giovanni Mongardi, Gianluca Pacienza +1
Zariski decomposition plays an important role in the theory of algebraic surfaces due to many applications. For irreducible symplectic manifolds Boucksom provided a characterizatio…
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…
Families of rational curves on holomorphic symplectic varieties and applications to zero-cycles
François Charles, Giovanni Mongardi, Gianluca Pacienza
We study families of rational curves on irreducible holomorphic symplectic varieties. We give a necessary and sufficient condition for a sufficiently ample linear system on a holom…
Fano varieties of K3 type and IHS manifolds
Enrico Fatighenti, Giovanni Mongardi
We construct several new families of Fano varieties of K3 type. We give a geometrical explanation of the K3 structure and we link some of them to projective families of irreducible…