Ramification in Elementary Abelian Extensions

被引:0
|
作者
Zhukov I.B. [1 ]
机构
[1] St. Petersburg State University, St. Petersburg
基金
俄罗斯基础研究基金会;
关键词
Natural Number; Abelian Extension; Cyclic Extension; Separable Extension; Uniformizing Element;
D O I
10.1007/s10958-014-2050-5
中图分类号
学科分类号
摘要
The paper is devoted to some properites of ramification invariants in infinite Abelian extensions of exponent p for a class of complete discrete valuation fields that includes 2-dimensional local fields of prime characteristic p. In particular, it is proved that the maximal such extension with a prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed. © 2014, Springer Science+Business Media New York.
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页码:404 / 409
页数:5
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