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arXiv · 1804.01725

G{é}n{é}ralisation d'un th{é}or{è}me de Greenberg

Jean-François Jaulent
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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.

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BibTeXRIS

Jean-François Jaulent. 2018-06-08. G{é}n{é}ralisation d'un th{é}or{è}me de Greenberg. https://arxiv.org/abs/1804.01725

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