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

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

2000-12-18

arxiv.org/abs/math/0012148v1

Geom. Topol. Monogr. Volume 3(2000) 143-150

Mathematics

Number Theory

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

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.

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