Mathematical Research Letters
Volume 22 (2015)
The projectors of the decomposition theorem are motivated
Pages: 1061 – 1088
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.