JournalsdmVol. 23pp. 1635–1657

Rost Nilpotence and Free Theories

  • Stefan Gille

    Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton T6G 2G1, Canada

  • Alexander Vishik

    School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom
Rost Nilpotence and Free Theories cover
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Abstract

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

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Stefan Gille, Alexander Vishik, Rost Nilpotence and Free Theories. Doc. Math. 23 (2018), pp. 1635–1657

DOI 10.4171/DM/656