1 citations · 1 across the 13 of their papers we have counts for
13 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…
G{é}n{é}ralisation d'un th{é}or{è}me de Greenberg
Jean-François Jaulent
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 tha…
Abelian capitulation of ray class groups
Jean-François Jaulent
Building on Bosca's method, we extend to tame ray class groups the results on capitulation of ideals of a number field by composition with abelian extensions of a subfield first st…
Note on Greenberg conjecture
Jean-François Jaulent
We use logarithmic {\ell}-class groups to take a new view on Greenberg's conjecture about Iwasawa {\ell}-invariants of a totally real number field K. By the way we recall and compl…
On the Kummer radical of -extensions
Jean-François Jaulent
On the basis of a previous work, we elaborate a new description of the Kummer radical associated to the first layers of --extensions of a number fields K, by using…
Computation of 2-groups of positive classes of exceptional number fields
Jean-François Jaulent, Sebastian Pauli, Michael Pohst +1
We present an algorithm for computing the 2-group of the positive divisor classes of a number field F in case F has exceptional dyadic places. As an application, we compute the 2-r…
A new Algorithm for the Computation of logarithmic l-Class Groups of Number Fields
Francisco Diaz Y Diaz, Jean-François Jaulent, Sebastian Pauli +2
We present an algorithm for the computation of logarithmic l-class groups of number fields. Our principal motivation is the effective determination of the l-rank of the wild kernel…
Computation of 2-groups of narrow logarithmic divisor classes of number fields
Jean-François Jaulent, Sebastian Pauli, Michael Pohst +1
We present an algorithm for computing the 2-group of narrow logarithmic divisor classes of degree 0 for number fields F. As an application, we compute in some cases the 2-rank of t…