Weakly approximable triangulated categories and enhancements: a survey

被引：0

作者：

Canonaco, Alberto ^{[1
]}

Neeman, Amnon ^{[2
]}

Stellari, Paolo ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy

[2] Univ Studi Milano, Dipartimento Matemat Federigo Enriques, Via Cesare Saldini 50, I-20133 Milan, Italy

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2025年 / 18卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Triangulated categories; dg categories; Enhancements; DG ENHANCEMENTS; T-STRUCTURES; THEOREM; UNIQUENESS; SUBCATEGORIES; EQUIVALENCES;

D O I：

10.1007/s40574-024-00452-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：109 / 134

页数：26

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