Morava K-theory and Rost invariant
K-Theory and Homology
2023-06-26 v1
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.
Cite
@article{arxiv.2306.13605,
title = {Morava K-theory and Rost invariant},
author = {Andrei Lavrenov and Victor Petrov},
journal= {arXiv preprint arXiv:2306.13605},
year = {2023}
}