Classes logarithmiques et capitulation

Jean-François Jaulent (1)

1 IMB - Institut de Mathématiques de Bordeaux

We prove a logarithmic version of the classical result of Artin-Furwängler on principalization of ideal classes in the Hilbert class-field by applying the group theoretic description of the transfert map to logarithmic class-groups of degree 0.

Mots clés: logarithmic class-groups; principalization; capitulation

Domaines: Théorie des nombres [math.NT]

Jean-François Jaulent. Classes logarithmiques et capitulation. 2012. ⟨hal-00687289v1⟩