Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section A, pages 31-41

Appendix to Section 2

M. Kurihara and I. Fesenko

Abstract. This appendix discusses some basic definitions and properties of differential forms and Kato's cohomology groups in characteristic p and a sketch of the proof of Bloch-Kato-Gabber's theorem which describes the differential symbol from the Milnor K-group K_n(F)/p of a field F of positive characteristic p to the differential module \Omega_F^n.
Keywords. Differential modules, Bloch-Kato-Gabber theorem.
AMS subject classification. 13N05, 14F30, 19D99.

E-print: arXiv:math.NT/0012134

Masato Kurihara and Ivan Fesenko

Department of mathematics, Tokyo Metropolitan University, Minami-Osawa 1-1, Hachioji, Tokyo 192-03, Japan
Email: m-kuri@comp.metro-u.ac.jp

Department of mathematics, University of Nottingham, Nottingham, NG7 2RD UK
Email: ibf@maths.nott.ac.uk

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