From the 1 of 5 linked papers with an AI index.
5 papers
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…
New examples of non-Fourier-Mukai exact functors via non-isomorphic octahedra
Alberto Canonaco, Mattia Ornaghi
We study a triangulated category that admits a full and strong exceptional sequence of three objects with one-dimensional Hom spaces. We show that the isomorphism clas…
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…
Localizations of the categories of categories and internal Homs over a ring
Alberto Canonaco, Mattia Ornaghi, Paolo Stellari
We show that, over an arbitrary commutative ring, the localizations of the categories of dg categories, of cohomologically unital, of unital and of strictly unital categ…