Galois module structure and Jacobians of Fermat curves
Idioma
en
Article de revue
Este ítem está publicado en
Bulletin of the London Mathematical Society. 2015-01-05, vol. 47, p. 1 - 11
London Mathematical Society
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Galois module structure
Abelian varieties
class-invariant homomorphism
Orígen
Importado de HalCentros de investigación