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arXiv · 1110.3595

Sur les formules asymptotiques le long des Zl-extensions

Jean-François Jaulent·Christian Maire·Guillaume Perbet
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Abstract

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 $\tildeλ^S_T$ of those quotients sensibly differs from the structural invariant $λ^S_T$, and we illustrate this fact with explicit examples, where it can be made as large as desired, positive or negative.

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Jean-François Jaulent, Christian Maire, Guillaume Perbet. 2011-10-17. Sur les formules asymptotiques le long des Zl-extensions. https://arxiv.org/abs/1110.3595

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