On finite dimensionality of mixed Tate motives
Algebraic Geometry
2009-02-08 v2 K-Theory and Homology
Abstract
We prove a few results concerning the notions of finite dimensionality of mixed Tate motives in the sense of Kimura and O'Sullivan. It is shown that being oddly or evenly finite dimensional is equivalent to vanishing of certain cohomology groups defined by means of Levine weight filtration. We then explain the relation to the Grothendieck group of the triangulated category D of mixed Tate motives. This naturally gives rise to a \lambda-ring structure on K_0(D).
Cite
@article{arxiv.math/0701683,
title = {On finite dimensionality of mixed Tate motives},
author = {Shahram Biglari},
journal= {arXiv preprint arXiv:math/0701683},
year = {2009}
}
Comments
16 pages