#### 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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