Rost nilpotence and free theories

Gille, Stefan; Vishik, Alexander

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.

Citation

Gille, S., & Vishik, A. (2018). Rost nilpotence and free theories. Documenta Mathematica, 23, 1635-1657

• Journal Article Type: Article
• Acceptance Date: Oct 30, 2018
• Publication Date: Nov 23, 2018
• Deposit Date: Oct 30, 2018
• Publicly Available Date: Nov 26, 2018
• Journal: Documenta Mathematica
• Electronic ISSN: 1431-0643
• Publisher: Documenta Mathematica
• Peer Reviewed: Peer Reviewed
• Volume: 23
• Pages: 1635-1657
• Public URL: https://nottingham-repository.worktribe.com/output/1174017
• Related Public URLs: https://www.math.uni-bielefeld.de/documenta/Welcome-eng.html
• Contract Date: Nov 26, 2018