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Stability conditions on products of curves and Hilbert schemes of surfaces
Chunyi Li, Emanuele Macrì, Alexander Perry +2
We prove that stability conditions on the derived category of a product of curves of positive genus are uniquely determined by their central charge and the phase of skyscraper shea…
Derived categories of hearts on Kuznetsov components
Chunyi Li, Laura Pertusi, Xiaolei Zhao
We prove a general criterion which guarantees that an admissible subcategory of the derived category of an abelian category is equivalent to the bounded derived categ…
Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
Chunyi Li, Laura Pertusi, Xiaolei Zhao
For a smooth cubic fourfold Y, we study the moduli space M of semistable objects of Mukai vector in the Kuznetsov component of Y. We show that with a certain choice of…
A refined Derived Torelli Theorem for Enriques surfaces
Chunyi Li, Howard Nuer, Paolo Stellari +1
We prove that two general Enriques surfaces defined over an algebraically closed field of characteristic different from are isomorphic if their Kuznetsov components are equival…
Higher rank Clifford indices of curves on a K3 surface
Soheyla Feyzbakhsh, Chunyi Li
Let be a polarized K3 surface with , and let be a smooth curve of genus . We give an upper bound on the dimension of global sec…
On stability conditions for the quintic threefold
Chunyi Li
We study the Clifford type inequality for a particular type of curves , which are contained in smooth quintic threefolds. This allows us to prove some stronger Bogomolov…