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arXiv · 1401.3705

The projectors of the decomposition theorem are motivic

Mark Andrea A. de Cataldo·Luca Migliorini
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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 quasi projective variety and of intersection cohomology motive of a projective variety.

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Mark Andrea A. de Cataldo, Luca Migliorini. 2014-01-15. The projectors of the decomposition theorem are motivic. https://arxiv.org/abs/1401.3705

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