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Explicit abelian extensions of complete discrete valuation fields

Igor Zhukov

Geometry & Topology Monographs 3 (2000) 117–122

DOI: 10.2140/gtm.2000.3.117

arXiv: math.NT/0012145

Abstract

This work presents author’s explicit methods of constructing abelian extensions of complete discrete valuation fields. His approach to explicit equations of a cyclic extension of degree pn which contains a given cyclic extension of degree p is explained.

Keywords

abelian extensions, complete discrete valuation fields

Mathematical Subject Classification

Primary: 11-99, 12F99, 12J25

References
Publication


Published: 10 December 2000

Authors
Igor Zhukov
Department of Mathematics and Mechanics
St. Petersburg University
Bibliotechnaya pl. 2
Staryj Petergof
198904 St. Petersburg
Russia