期刊
JOURNAL OF ALGEBRA
卷 569, 期 -, 页码 334-376出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2020.10.027
关键词
Algebraic geometry; Triangulated categories; Dimension; Serre functor
类别
资金
- HSE University Basic Research Program
- Russian Academic Excellence Project '5-100'
- Laboratory of Mirror Symmetry NRU HSE, RF Government [14.641.31.0001]
This note discusses three notions of dimension for triangulated categories: Rouquier dimension, diagonal dimension, and Serre dimension. Basic properties of these dimensions are proved, comparisons are made, and open problems are discussed.
In this note we discuss three notions of dimension for triangulated categories: Rouquier dimension, diagonal dimension and Serre dimension. We prove some basic properties of these dimensions, compare them and discuss open problems. (C) 2020 Elsevier Inc. All rights reserved.
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