English

Invitation to higher local fields, Part I, section A: Appendix to Section 2

Number Theory 2009-09-25 v1 Commutative Algebra Algebraic Geometry

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

Cite

@article{arxiv.math/0012134,
  title  = {Invitation to higher local fields, Part I, section A: Appendix to Section 2},
  author = {Masato Kurihara and Ivan Fesenko},
  journal= {arXiv preprint arXiv:math/0012134},
  year   = {2009}
}

Comments

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-a.abs.html