paper

Rost nilpotence and free theories

arXiv:1804.04703 · doi:10.25537/dm.2018v23.1635-1657

Abstract

We introduce coherent cohomology theories 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 h_*-motives. Examples of such theories are algebraic cobordism and its descendants the free theories.

17 pages