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