Sur les formules asymptotiques le long des Zl-extensions
Langue
fr
Article de revue
Ce document a été publié dans
Annales mathématiques du Québec. 2013, vol. 37, n° 1, p. 63-78
Springer
Résumé en anglais
In this paper we clarify some asymptotic formulas given by Jaulent-Maire, which relate orders of finite quotients of S-infinitesimal T-classes l-groups $Cl^S_T(K_n)$ associated to finite layers $K_n$ of a Zl-extension ...Lire la suite >
In this paper we clarify some asymptotic formulas given by Jaulent-Maire, which relate orders of finite quotients of S-infinitesimal T-classes l-groups $Cl^S_T(K_n)$ associated to finite layers $K_n$ of a Zl-extension $K_\infty/K$ over a number field to the structural invariants of the Iwasawa module $X^S_T:=\varprojlim \Cl^S_T(K_n)$. We especially show that the lambda invariant $\tilde\lambda^S_T$ of those quotients sensibly differs from the structural invariant $\lambda^S_T$, and we illustrate this fact with explicit examples, where it can be made as large as desired, positive or negative.< Réduire
Mots clés en anglais
Iwasawa theory
class groups
asymptotic formulas
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Algorithmique des fonctions L - ANR-07-BLAN-0248
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