Galois module structure and Jacobians of Fermat curves
Language
en
Article de revue
This item was published in
Bulletin of the London Mathematical Society. 2015-01-05, vol. 47, p. 1 - 11
London Mathematical Society
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Galois module structure
Abelian varieties
class-invariant homomorphism
Origin
Hal imported