Classes logarithmiques et capitulation

Jean-François Jaulent (1)

1 IMB - Institut de Mathématiques de Bordeaux

We study 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: capitulation; logarithmic class-groups; principalization

Domaines: Théorie des nombres [math.NT]

Jean-François Jaulent. Classes logarithmiques et capitulation. Functiones et Approximatio Commentarii Mathematici, 2016, 54 (2), pp.227-239. ⟨hal-00687289v6⟩