2023/06/23 by Lavrenov, Andrei, Petrov, Victor
#14C15 #20G15 #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.2306.13605
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.