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arXiv:math/0012148 [math.NT]AbstractReferencesReviewsResources

Invitation to higher local fields, Part I, section 17: An approach to higher ramification theory

Igor Zhukov

Published 2000-12-18Version 1

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.

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-17.abs.html
Journal: Geom. Topol. Monogr. Volume 3(2000) 143-150
Categories: math.NT, math.AG
Subjects: 12F99, 12J25, 11-99, 19F99
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