Stratification of Derived Categories of Tate Motives
Algebraic Geometry
2024-06-21 v1 Category Theory
K-Theory and Homology
Abstract
We classify the localizing tensor ideals of the derived categories of mixed Tate motives over certain algebraically closed fields. More precisely, we prove that these categories are stratified in the sense of Barthel, Heard and Sanders. A key ingredient in the proof is the development of a new technique for transporting stratification between categories by means of Brown--Adams representability, which may be of independent interest.
Keywords
Cite
@article{arxiv.2406.13088,
title = {Stratification of Derived Categories of Tate Motives},
author = {David Rubinstein},
journal= {arXiv preprint arXiv:2406.13088},
year = {2024}
}