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A short proof of Rost nilpotence via refined correspondences

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.