3 papers
math.AG2026
-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…
math.AG2026
Noncommutative varieties and stability conditions: an overview
Laura Pertusi
Using the modern perspective of noncommutative algebraic geometry we survey some recent progress in the theory of stability conditions and moduli spaces with applications in hyperk…
math.AG2024
Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds
Chunyi Li, Yinbang Lin, Laura Pertusi +1
We study moduli spaces of stable objects in the Kuznetsov components of Fano threefolds. We prove a general non-emptiness criterion for moduli spaces, which applies to the cases of…