March 2020 A $k$-linear triangulated category without a model
Alice Rizzardo, Michel Van den Bergh
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Ann. of Math. (2) 191(2): 393-437 (March 2020). DOI: 10.4007/annals.2020.191.2.3

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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Alice Rizzardo. Michel Van den Bergh. "A $k$-linear triangulated category without a model." Ann. of Math. (2) 191 (2) 393 - 437, March 2020. https://doi.org/10.4007/annals.2020.191.2.3

Information

Published: March 2020
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2020.191.2.3

Subjects:
Primary: 13D09 , 14A22 , 18E30

Keywords: enhancement , Model , triangulated category

Rights: Copyright © 2020 Department of Mathematics, Princeton University

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Vol.191 • No. 2 • March 2020
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