Motivic Decomposition and Intersection Chow Groups I
Algebraic Geometry
2007-05-23 v1
Abstract
For a quasiprojective variety S, we define a category CHM(S) of pure Chow motives over S. Assuming conjectures of Grothendieck and Murre, we show that the decomposition theorem holds in CHM(S). As a consequence, the intersection complex of S makes sense as an object IS of CHM(S). In the forthcoming part II we will give an unconditional definition of intersection Chow groups and study some of their properties.
Cite
@article{arxiv.math/9804123,
title = {Motivic Decomposition and Intersection Chow Groups I},
author = {A. Corti and M. Hanamura},
journal= {arXiv preprint arXiv:math/9804123},
year = {2007}
}
Comments
57 pages, AMS-TeX, needs xypic package