Mixed Motives and Motivic Birational Covers
Algebraic Geometry
2016-10-11 v2 K-Theory and Homology
Abstract
We introduce a tower of localizing subcategories in Voevodsky's big (closed under infinite coproducts) triangulated category of motives. We show that the tower induces an interesting finite filtration on the motivic cohomology groups of smooth schemes over a perfect field. With rational coefficients, this finite filtration satisfies several of the properties of the still conjectural Bloch-Beilinson-Murre filtration.
Keywords
Cite
@article{arxiv.1605.00717,
title = {Mixed Motives and Motivic Birational Covers},
author = {Pablo Pelaez},
journal= {arXiv preprint arXiv:1605.00717},
year = {2016}
}
Comments
18 pages; exposition simplified, removed unnecessary condition in former proposition 6.1.8