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On the Fontaine–Mazur Conjecture for CM-Fields
Authors:Kay Wingberg
Institution:(1) Mathematisches Institut, der Universität Heidelberg, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany
Abstract:Fontaine and Mazur conjecture that a number field k has no infinite unramified Galois extension such that its Galois group is a p-adic analytic pro-p-group. We consider this conjecture for the maximal unramified p-extension of a CM-field k.
Keywords:CM-field  unramified extension  p-adic Lie group
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