作者
Filippo Viviani
发表日期
2004
期刊
Journal de théorie des nombres de Bordeaux
卷号
16
期号
3
页码范围
779-816
简介
We study the ramification properties of the exten-sions Q (03B6m, m~ 03B1)/Q under the hypothesis that m is odd and if p| m than either p vp (a) or pvp (m)| vp (03B1)(vp (03B1) and vp (m) are the exponents with which p divides a and m). In particular we determine the higher ramification groups of the completed exten-sions and the Artin conductors of the characters of their Galois group. As an application, we give formulas for the p-adique valuation of the discriminant of the studied global extensions with m= Pr.
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