A k-linear triangulated category without a model

• 成果类型: Article
• 署名作者: Rizzardo, Alice; Van den Bergh, Michel
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.191.2.3
• 发表日期: 2020
• 页码: 393-437
• 关键词: uniqueness

摘要

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.