A counterexample to generalizations of the Milnor-Bloch-Kato conjecture

Spieß M, Yamazaki T (2009)
Journal of K-Theory 4(1): 77-90.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Spieß, MichaelUniBi; Yamazaki, Takao
Abstract / Bemerkung
We construct an example of a torus T over a field K for which the Galois symbol K(K;T,T)/nK(K;TT) -> H-2(K,T[n] circle times 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 x T) gives a counterexample to another generalization of the Milnor-Bloch-Kato conjecture (proposed by Beilinson).
Stichworte
Motivic cohomology; Milnor K-group; higher algebraic K-theory
Erscheinungsjahr
2009
Zeitschriftentitel
Journal of K-Theory
Band
4
Ausgabe
1
Seite(n)
77-90
ISSN
1865-2433
Page URI
https://pub.uni-bielefeld.de/record/1590636

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Spieß M, Yamazaki T. A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Journal of K-Theory. 2009;4(1):77-90.
Spieß, M., & Yamazaki, T. (2009). A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Journal of K-Theory, 4(1), 77-90. https://doi.org/10.1017/is008008014jkt066
Spieß, M., and Yamazaki, T. (2009). A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Journal of K-Theory 4, 77-90.
Spieß, M., & Yamazaki, T., 2009. A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Journal of K-Theory, 4(1), p 77-90.
M. Spieß and T. Yamazaki, “A counterexample to generalizations of the Milnor-Bloch-Kato conjecture”, Journal of K-Theory, vol. 4, 2009, pp. 77-90.
Spieß, M., Yamazaki, T.: A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Journal of K-Theory. 4, 77-90 (2009).
Spieß, Michael, and Yamazaki, Takao. “A counterexample to generalizations of the Milnor-Bloch-Kato conjecture”. Journal of K-Theory 4.1 (2009): 77-90.

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