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