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A counterexample to generalizations of the Milnor-Bloch-Kato conjecture
Published online by Cambridge University Press: 25 August 2009
Abstract
We construct an example of a torus T over a field K for which the Galois symbol K(K;T,T)/nK(K;T,T) → H2(K,T[n] ⊗ T[n]) is not injective for some n. Here K(K;T,T) is the Milnor K-group attached to T introduced by Somekawa. We show also that the motive M(T × T) gives a counterexample to another generalization of the Milnor-Bloch-Kato conjecture (proposed by Beilinson).
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- Copyright © ISOPP 2009
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