59 citations · 103 across the 17 of their papers we have counts for
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Metrics on triangulated categories and their enhancements
Alberto Canonaco, Amnon Neeman, Paolo Stellari
In this paper we investigate the uniqueness of enhancements of the natural subcategories of weakly approximable triangulated categories. The main idea is to enhance at the level of…
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…
The passage among the subcategories of weakly approximable triangulated categories
Alberto Canonaco, Christian Haesemeyer, Amnon Neeman +1
In this article we prove that all the inclusions between the 'classical' and naturally defined full triangulated subcategories of a weakly approximable triangulated category are in…
Uniqueness of enhancements for derived and geometric categories
Alberto Canonaco, Amnon Neeman, Paolo Stellari
We prove that the derived categories of abelian categories have unique enhancements -- all of them, the unbounded, bounded, bounded above and bounded below derived categories. The…