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arXiv · 2306.13605

Morava K-theory and Rost invariant

Andrei Lavrenov·Victor Petrov
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Abstract

We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost invariants coincide. This extends Panin's results on interrelationship of K-theory with Tits algebras to the case of cohomological invariants of degree 3.

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Andrei Lavrenov, Victor Petrov. 2023-06-23. Morava K-theory and Rost invariant. https://arxiv.org/abs/2306.13605

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