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On the Fontaine–Mazur Conjecture for CM-Fields

Published online by Cambridge University Press:  04 December 2007

Kay Wingberg
Kay Wingberg
Affiliation:
Mathematisches Institut, der Universität Heidelberg, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany. E-mail: [email protected]
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Abstract

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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-fieldunramified extensionp-adic Lie group
Type
Research Article
Information
Compositio Mathematica , Volume 131 , Issue 3 , May 2002 , pp. 341 - 354
Copyright
© 2002 Kluwer Academic Publishers