Hostname: page-component-6d856f89d9-5pczc Total loading time: 0 Render date: 2024-07-16T08:27:44.042Z Has data issue: false hasContentIssue false
  • English
  • Français

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: wingberg@mathi.uni-heidelberg.de
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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