English

On capitulation of logarithmic classes

Number Theory 2024-11-11 v1

Abstract

We establish a logarithmic version of the classical result of Artin-Furw{\"a}ngler on the principalization ofideal classes in the Hilbert class-field by applying the group theoretic description of the transfert map to logarithmic class-groups of degree 0.

Keywords

Cite

@article{arxiv.2411.05431,
  title  = {On capitulation of logarithmic classes},
  author = {Jean-François Jaulent},
  journal= {arXiv preprint arXiv:2411.05431},
  year   = {2024}
}

Comments

in French language

R2 v1 2026-06-28T19:52:47.678Z