Enhanced finite triangulated categories

Abstract

We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence.

40 pages, minor improvements

References in corpus (2)

• On exotic equivalences and a theorem of Franke
• Enhanced $A$-infinity obstruction theory

Cited by in corpus (2)

• Auslander Correspondence for Triangulated Categories
• The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence