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Morava K-theory of twisted flag varieties

2014/06/12 by V. A. Petrov, Petrov, Victor, Nikita Semenov +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1406.3141

Abstract

In the present article we prove some results about the Morava K-theory. In particular, we construct an operation from the Morava K-theory to the Chow theory analogous to the second Chern class for Grothendieck's K0-theory. Furthermore, we investigate ordinary and equivariant oriented cohomology theories in the sense of Levine-Morel of projective quadrics, and discuss the Rost motives.

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