Motivic Decomposition and Intersection Chow Groups I

Details Motivic Decomposition and Intersection Chow Groups I Motivic Decomposition and Intersection Chow Groups I

1998-04-25

arxiv.org/abs/math/9804123v1

Mathematics

Algebraic Geometry

57 pages, AMS-TeX, needs xypic package

Scientific paper

For a quasiprojective variety S, we define a category CHM(S) of pure Chow motives over S. Assuming conjectures of Grothendieck and Murre, we show that the decomposition theorem holds in CHM(S). As a consequence, the intersection complex of S makes sense as an object IS of CHM(S). In the forthcoming part II we will give an unconditional definition of intersection Chow groups and study some of their properties.

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