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# Motivic Decomposition And Intersection Chow Groups, I

DUKE MATHEMATICAL JOURNAL, no. 3 (2000): 459-522

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 de...更多

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