f-categories and Tate motives

Details f-categories and Tate motives f-categories and Tate motives

2008-10-09

arxiv.org/abs/0810.1674v1

C. R. Acad. Sci. Paris 347 (2009), 1337-1342

Mathematics

Algebraic Geometry

13 pages

Scientific paper

10.1016/j.crma.2009.10.016

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.

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