Geodesic
A short proof of Rost nilpotence via refined correspondences
Documenta mathematica, Tome 8 (2003), pp. 69-78
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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.
DOI : 10.4171/dm/138
Classification : 11E04, 14C25
Mots-clés : quadratic forms, correspondence, Chow groups and motives 
@article{10_4171_dm_138,
     author = {Patrick Brosnan},
     title = {A short proof of {Rost} nilpotence via refined correspondences},
     journal = {Documenta mathematica},
     pages = {69--78},
     year = {2003},
     volume = {8},
     doi = {10.4171/dm/138},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/138/}
}
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Patrick Brosnan. A short proof of Rost nilpotence via refined correspondences. Documenta mathematica, Tome 8 (2003), pp. 69-78. doi: 10.4171/dm/138

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