4 papers
Inducing t-structures on semiorthogonal components
Alexander Kuznetsov, Shengxuan Liu, Alexander Perry
Given a triangulated category with a t-structure, we introduce a method for inducing t-structures on its semiorthogonal components, based on the construction of an associated perve…
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…
A Looming of phantoms
Kimoi Kemboi, Daniel Krashen, Tianle Liu +6
Following Krah's method, we construct new examples of phantom categories as semiorthogonal components of the derived categories of two types of rational surfaces: the blowup of the…
Derived categories of quartic double fivefolds
Raymond Cheng, Alexander Perry, Xiaolei Zhao
We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also constr…