Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 4, pages 43-51

Cohomological symbol for henselian discrete valuation fields of mixed characteristic

J. Nakamura

Abstract. This is a sketch of main steps of the proof of Bloch--Kato's theorem which states that the norm residue homomorphism
K_q(K)/m\to H^q(K,\Bbb Z/m(q))
is an isomorphism for a henselian discrete valuation field K of characteristic 0 with residue field of positive characteristic.
Keywords. Henselian discrete valuation fields, cohomological symbol, Bloch-Kato theorem.
AMS subject classification. 19D45, 19D99, 12G05.

E-print: arXiv:math.NT/0012135

Jinya Nakamura
Department of Mathematics, University of Tokyo
3-8-1 Komaba Meguro-Ku 153-8914 Japan

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