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Morava K-theory of twisted flag varieties

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arxiv 1406.3141 v1 pith:IU52RONI submitted 2014-06-12 math.AG

classification math.AG
keywords k-theorymoravaanalogousarticlechernchowclasscohomology
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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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