34 citations · 202 across the 27 of their papers we have counts for
40 papers
-cycles and sheaves on abelian surfaces
Giovanni Mongardi, Gianluca Pacienza, Laura Pertusi
We introduce a filtration on the Chow ring of an abelian surface , inspired by O'Grady's filtration on K3 surfaces. We give a geometric description of the filtration, and we pro…
On the Zariski density of rational curves on IHS manifolds
Pietro Beri, Giovanni Mongardi, Gianluca Pacienza
In analogy with recent works on surfaces, we study the existence of infinitely many ruled divisors on projective irreducible holomorphic symplectic (IHS) manifolds. We prove s…
Even nodal surfaces of K3 type
Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka +4
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperKähler varieties. As a result we describe f…
Regenerations and applications
Giovanni Mongardi, Gianluca Pacienza
Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective …
Fixed loci of symplectic automorphisms of and -Kummer type manifolds
Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov
The aim of this paper is to give an explicit description of the fixed loci of symplectic automorphisms for certain hyperkahler manifolds, namely for Hilbert schemes on K3 surfaces…
Footnotes to the birational geometry of primitive symplectic varieties
Christian Lehn, Giovanni Mongardi, Gianluca Pacienza
In this note, we extend to the singular case some results on the birational geometry of irreducible holomorphic symplectic manifolds.