From the 2 of 7 linked papers with an AI index.
7 papers
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
The paper extends Bridgeland stability conditions from projective schemes to families over arbitrary bases, establishing proper relative moduli spaces and proving related mass‑Hom…
Metrics on triangulated categories and their enhancements
Alberto Canonaco, Amnon Neeman, Paolo Stellari
The paper investigates the uniqueness of ∞‑categorical enhancements for natural subcategories of weakly approximable triangulated categories using a theory of excellent metrics, an…
Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories
Alessio Bottini, Emanuele Macrì, Paolo Stellari
We review recent developments in the theory of compact hyper-Kähler varieties, from the viewpoint of Lagrangian fibrations, moduli spaces of stable sheaves, and derived categories…
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…
Strong uniqueness of enhancements for the dual numbers: a case study
Alberto Canonaco, Amnon Neeman, Paolo Stellari
We prove that the bounded and bounded below derived categories of (all) modules over the dual numbers have strongly unique (dg) enhancements. To this end we relate those categories…
Weakly approximable triangulated categories and enhancements: a survey
Alberto Canonaco, Amnon Neeman, Paolo Stellari
This paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated categories. We also review the results about uniqu…