Ramification Groups and Artin Conductors of Radical Extensions of Q
نویسنده
چکیده
We study the ramification properties of the extensions Q(ζm, m √ a)/Q under the hypothesis that m is odd and if p | m than either p ∤ vp(a) or pvp(m) | vp(a) (vp(a) and vp(m) are the exponents with which p divides a and m). In particular we determine the higher ramification groups of the completed extensions 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 = p .
منابع مشابه
779 – 816 Ramification groups and Artin conductors of radical extensions of Q par Filippo VIVIANI
We study the ramification properties of the extensions Q(ζm, m √ a)/Q under the hypothesis that m is odd and if p | m than either p vp(a) or pp | vp(a) (vp(a) and vp(m) are the exponents with which p divides a and m). In particular we determine the higher ramification groups of the completed extensions and the Artin conductors of the characters of their Galois group. As an application, we give ...
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تاریخ انتشار 2004