12 papers
On capitulation of logarithmic classes
Jean-François Jaulent
We establish a logarithmic version of the classical result of Artin-Furw{ä}ngler on the principalization ofideal classes in the Hilbert class-field by applying the group theoretic…
Imaginary logarithmic classes of abelian number fields
Jean-François Jaulent
We are interested in classical and logarithmic imaginary classes of abelian number fields in connection with Iwasawa theory. For any given odd prime and any imaginary abel…
On S-ramified T-split Iwasawa modules
Jean-François Jaulent
We correct the faulty formulas given in a previous article and we compute the defect group for the Iwasawa invariants attached to the S-ramified T-decomposed a belian pro-${\el…
Stickelberger annihilators of logarithmic class groups
Jean-François Jaulent
For any odd prime number and any abelian number field F containing the -th roots of unity, we show that the Stickelberger ideal annihilates the imaginary component of…
Universal norms and Greenberg conjecture
Jean-François Jaulent
We investigate the group of universal norms attached to the cyclotomic Z {\ell}-tower of a totally real number field in connection with Grenberg's conjecture on Iwasawa invariants…
The present state of the capitulation problem
Jean-François Jaulent
The text is a synthetic presentation of the state of the knowledge about the capitulation for the class-groups of numbers fields, shortly before the demonstration by Suzuki of the…