G{\'e}n{\'e}ralisation d'un th{\'e}or{\`e}me de Greenberg
Number Theory
2018-06-11 v4
Abstract
We formulate a general conjecture on the characteristic polynomials of S-decomposed T-ramified Iwasawa modules over the cyclotomic Z {\ell}-extension of a number field. We show that this conjecture is equivalent to the conjunctions of the classical conjectures of Leopoldt and of Gross-Kuz'min. We so extend a result of semi-simplicity of Greenberg and, by the way, an isomorphism of Kuz'min.
Cite
@article{arxiv.1804.01725,
title = {G{\'e}n{\'e}ralisation d'un th{\'e}or{\`e}me de Greenberg},
author = {Jean-François Jaulent},
journal= {arXiv preprint arXiv:1804.01725},
year = {2018}
}
Comments
in French