## Rost Nilpotence and Free Theories

##### Doc. Math. 23, 1635-1657 (2018)
DOI: 10.25537/dm.2018v23.1635-1657

### Summary

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.

14F42, 14C25

### Keywords/Phrases

algebraic cobordism, motives, projective homogeneous varieties

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### Affiliation

Gille, Stefan
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton T6G 2G1, Canada
Vishik, Alexander
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom