Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 17, pages 143-150

An approach to higher ramification theory

I. Zhukov

Abstract. This is an introduction to author's ramification theory of a complete discrete valuation field with residue field whose p-basis consists of at most one element. New lower and upper filtrations are defined; cyclic extensions of degree p may have non-integer ramification breaks. A refinement of the filtration for two-dimensional local fields which is compatible with the reciprocity map is discussed.
Keywords. Higher ramification theory, complete discrete valuation fields.
AMS subject classification. 12F99, 12J25,11-99, 19F99.

E-print: arXiv:math.NT/0012148

Igor Zhukov
Department of mathematics and mechanics, St. Petersburg University, Bibliotechnaya pl. 2, Staryj Petergof 198904 St. Petersburg, Russia

Return to contents page
GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to