Weakly approximable triangulated categories and enhancements: a survey
Algebraic Geometry
2024-12-31 v2 Category Theory
Representation Theory
Abstract
This paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated categories. We also review the results about uniqueness of enhancements of triangulated categories, with the aim of showing the fruitful interplay. In particular, we show how this leads to a vast generalization of a result by Rickard about derived invariance for schemes and rings.
Cite
@article{arxiv.2407.05946,
title = {Weakly approximable triangulated categories and enhancements: a survey},
author = {Alberto Canonaco and Amnon Neeman and Paolo Stellari},
journal= {arXiv preprint arXiv:2407.05946},
year = {2024}
}
Comments
Final version to appear in Bollettino dell'Unione Matematica Italiana. 26 pages