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Kunneth formula for graded rings associated to K-theories of Rost motives

Published 27 May 2018 in math.KT | (1805.10613v1)

Abstract: In this paper, we study the graded ring gr(X) defined by the K-theory of twisted flag variety X. In particular, Kunneth map from gr(R')(\otimes)gr(R') to gr(R) is studed explicitly for an original Rost motive R' and a generalized Rost motive R. Using this, we give an example that T(X)2 is nonzero for the torsion ideal T(X) in the Chow ring CH(X).

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