Ramification in Elementary Abelian Extensions

被引：0
|
作者：
Zhukov I.B. [1 ]
机构：
[1] St. Petersburg State University, St. Petersburg
来源：
Journal of Mathematical Sciences | 2014年 / 202卷 / 3期
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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