The projectors of the decomposition theorem are motivic
Algebraic Geometry
2014-01-16 v1
Abstract
We prove that the projectors arising from the decomposition theorem applied to a projective map of quasi projective varieties are absolute Hodge, Andr\'e motivated, Tate and Ogus classes. As a by-product, we introduce, in characteristic zero, the notions of algebraic de Rham intersection cohomology groups of a quasi projective variety and of intersection cohomology motive of a projective variety.
Keywords
Cite
@article{arxiv.1401.3705,
title = {The projectors of the decomposition theorem are motivic},
author = {Mark Andrea A. de Cataldo and Luca Migliorini},
journal= {arXiv preprint arXiv:1401.3705},
year = {2014}
}