An Abelian Category of Motivic Sheaves
Algebraic Geometry
2012-10-11 v4 Number Theory
Abstract
The goal of this paper is to construct a category of motivic "sheaves" on an algebraic variety defined over a subfield of C, using Nori's method. This categoryis abelian and it possesses faithful exact realization functors to the categoriesof constructible sheaves for the classical and etale topologies. Moreover, there is a tannakian subcategory of motivic local systems with a realization functor into the category of variations of mixed Hodge structures. Conversely, all basic geometric examples of the latter come from this motivic category.
Keywords
Cite
@article{arxiv.0801.0261,
title = {An Abelian Category of Motivic Sheaves},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:0801.0261},
year = {2012}
}
Comments
Final revision. To appear in Adv. Math. 72 pages