Geodesic
Rost Nilpotence and Free Theories
Documenta mathematica, Tome 23 (2018), pp. 1635-1657.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We introduce coherent cohomology theories $\underline{{h}}$ and prove that if such a theory is moreover generically constant then the Rost nilpotence principle holds for projective homogeneous varieties in the category of $\underline{{h}}$-motives. Examples of such theories are algebraic cobordism and its descendants the free theories.
Classification : 14F42, 14C25
Keywords: algebraic cobordism, motives, projective homogeneous varieties 
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Gille, Stefan; Vishik, Alexander. Rost Nilpotence and Free Theories. Documenta mathematica, Tome 23 (2018), pp. 1635-1657. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a16/