Work

Approximable Triangulated Categories and Reflexive DG-categories

Year: 2026

Type: article

Abstract: We use the theory of approximable triangulated categories to give a condition for a proper DG-category to be reflexive in the sense of Kuznetsov and Shinder. To do this we provide another description of the completion of an approximable triangulated category under a properness assumption. We apply our results to proper schemes, proper connective DG-algebras and Azumaya algebras over proper schemes. We include an appendix by Raedschelders and Stevenson showing that proper connective DG-algebras admit finite dimensional models over any field.

Source: Applied Categorical Structures

DOI: 10.1007/s10485-026-09856-0

Author: Isambard Goodbody

Institution: University of Glasgow

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Aarhus Universitet, Carnegie Dunfermline Trust, Carnegie Trust for the Universities of Scotland