English

A k-linear triangulated category without a model

Algebraic Geometry 2018-05-07 v2 Algebraic Topology

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.

Cite

@article{arxiv.1801.06344,
  title  = {A k-linear triangulated category without a model},
  author = {Alice Rizzardo and Michel Van den Bergh},
  journal= {arXiv preprint arXiv:1801.06344},
  year   = {2018}
}

Comments

33 pages Many small issues corrected

R2 v1 2026-06-22T23:49:39.063Z