Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fields

Details Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fields Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fields

2000-12-18

arxiv.org/abs/math/0012144v1

Geom. Topol. Monogr. Volume 3(2000) 113-116

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 the author theory of cyclic p-extensions of an
absolutely unramified complete discrete valuation field K with arbitrary
residue field of characteristic p. In this theory a homomorphism is constructed
from the p-part of the group of characters of K to Witt vectors over its
residue field.

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