Contents Online
Mathematical Research Letters
Volume 22 (2015)
Number 4
The projectors of the decomposition theorem are motivated
Pages: 1061 – 1088
DOI: https://dx.doi.org/10.4310/MRL.2015.v22.n4.a6
Authors
Abstract
We prove that the projectors arising from the decomposition theorem applied to a projective map of quasi-projective varieties are absolute Hodge, André 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 quasiprojective variety and of intersection cohomology motive of a projective variety.
Published 24 July 2015