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Sur les invariants d'Iwasawa des tours cyclotomiques

  Published:2003-06-01
 Printed: Jun 2003
  • Jean-François Jaulent
  • Christian Maire
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Abstract

We carry out the computation of the Iwasawa invariants $\rho^T_S$, $\mu^T_S$, $\lambda^T_S$ associated to abelian $T$-ramified over the finite steps $K_n$ of the cyclotomic $\mathbb{Z}_\ell$-extension $K_\infty/K$ of a number field of $\CM$-type. Nous d\'eterminons explicitement les param\'etres d'Iwasawa $\rho^T_S$, $\mu^T_S$, $\lambda^T_S$ des $\ell$-groupes de $S$-classes $T$-infinit\'esimales $\Cl^T_S (K_n)$ attach\'es aux \'etages finis de la $\mathbb{Z}_\ell$-extension cyclotomique $K_\infty/K$ d'un corps de nombres \`a conjugaison complexe.
MSC Classifications: 11R23, 11R37 show english descriptions Iwasawa theory
Class field theory
11R23 - Iwasawa theory
11R37 - Class field theory
 

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