Volume 3 (2000)

Download this article
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
The Series
About the Series
MSP Books and Monographs
Author Index
Subscriptions
Submission Guidelines
Author copyright form
Contacts
Geometry & Topology
G&T Publications
Editorial Board
GTP Author Index

Cohomological symbol for henselian discrete valuation fields of mixed characteristic

Jinya Nakamura

Geometry & Topology Monographs 3 (2000) 43–51

DOI: 10.2140/gtm.2000.3.43

arXiv: math.NT/0012135

Abstract

This is a sketch of main steps of the proof of Bloch–Kato's theorem which states that the norm residue homomorphism Kq(K)/m→Hq(K,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

Mathematical Subject Classification

Primary: 12G05, 19D45, 19D99

References
Publication


Published: 10 December 2000

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