18 citations · 55 across the 27 of their papers we have counts for
32 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…
Subvarieties of complete intersections of large degree
Francesco Bastianelli, Gianluca Pacienza
We study subvarieties of very general complete intersections of multidegree , when is sufficiently large. In a seminal…
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…
On the relative cone conjecture for families of IHS manifolds
Andreas Höring, Gianluca Pacienza, Zhixin Xie
We study the relative cone conjecture for families of -trivial varieties with vanishing irregularity. As an application we prove that the relative movable and the relative nef c…
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 …
On the cone conjecture for Enriques manifolds
Gianluca Pacienza, Alessandra Sarti
Enriques manifolds are non--simply connected manifolds whose universal cover is irreducible holomorphic symplectic, and as such they are natural generalizations of Enriques surface…