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
Full text: dvi.gz 19 k, dvi 45 k, ps.gz 529 k, pdf 125 k.
Home Page of DOCUMENTA MATHEMATICA