A Short Proof of Rost Nilpotence via Refined Correspondences

I generalize the notion of composition of algebraic correspondences using the refined Gysin homorphism of Fulton-MacPherson intersection theory. Using this notion, I give a short self-contained proof of Rost's ``nilpotence theorem'' and a generalization of one important proposition used by Rost in his proof of the theorem.

2000 Mathematics Subject Classification: Primary 11E04; Secondary 14C25

Keywords and Phrases: quadratic forms, correspondence, Chow groups and motives

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