English

f-categories and Tate motives

Algebraic Geometry 2017-06-23 v1 Category Theory

Abstract

Using Beilinson's theory of f-categories, we prove that the triangulated category of Tate motives over a field k is equivalent to the bounded derived category of its heart, provided that k is algebraic over the rationals. This answers a question asked by Levine.

Keywords

Cite

@article{arxiv.0810.1674,
  title  = {f-categories and Tate motives},
  author = {J. Wildeshaus},
  journal= {arXiv preprint arXiv:0810.1674},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-21T11:29:05.202Z