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Ramification in Elementary Abelian Extensions
被引:0
|
作者
:
Zhukov I.B.
论文数:
0
引用数:
0
h-index:
0
机构:
St. Petersburg State University, St. Petersburg
St. Petersburg State University, St. Petersburg
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.
引用
收藏
页码:404 / 409
页数:5
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