Galois module structure and Jacobians of Fermat curves
Langue
en
Article de revue
Ce document a été publié dans
Bulletin of the London Mathematical Society. 2015-01-05, vol. 47, p. 1 - 11
London Mathematical Society
Résumé en anglais
The class-invariant homomorphism allows one to measure the Galois module structure of extensions obtained by dividing points on abelian varieties. In this paper, we consider the case when the abelian variety is the Jacobian ...Lire la suite >
The class-invariant homomorphism allows one to measure the Galois module structure of extensions obtained by dividing points on abelian varieties. In this paper, we consider the case when the abelian variety is the Jacobian of a Fermat curve. We give examples of torsion points whose associated Galois structure is trivial, as well as points of infinite order whose associated Galois structure is non-trivial.< Réduire
Mots clés en anglais
Galois module structure
Abelian varieties
class-invariant homomorphism
Origine
Importé de halUnités de recherche