A $k$-linear triangulated category without a model

Pages 393-437 from Volume 191 (2020), Issue 2 by Alice Rizzardo, Michel Van den Bergh

Abstract

In this paper we give an example of a triangulated category, linear over a field of characteristic zero, which does not carry a DG-enhancement. The only previous examples of triangulated categories without a model have been constructed by Muro, Schwede and Strickland. These examples are however not linear over a field.

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Keywords
, ,
DOI
https://doi.org/10.4007/annals.2020.191.2.3
MR
4076629
zbMATH
07168643
Milestones
Received: 2 May 2018
Revised: 19 March 2019
Accepted: 12 November 2019
Published online: 13 February 2020

Authors

Alice Rizzardo

University of Liverpool, Liverpool, United Kingdom

Michel Van den Bergh

Universiteit Hasselt, Hasselt, Belgium