Invariants de classes : propriétés fonctorielles et applications à l'étude du noyau
Language
fr
Article de revue
This item was published in
Journal de Théorie des Nombres de Bordeaux. 2007, vol. 19, n° 2, p. 415-432
Société Arithmétique de Bordeaux
English Abstract
The class-invariant homomorphism allows one to measure the Galois module structure of torsors--under a finite flat group scheme--which lie in the image of a coboundary map associated to an exact sequence. It has been ...Read more >
The class-invariant homomorphism allows one to measure the Galois module structure of torsors--under a finite flat group scheme--which lie in the image of a coboundary map associated to an exact sequence. It has been introduced first by Martin Taylor (the exact sequence being given by an isogeny between abelian schemes). We begin by giving general properties of this homomorphism, then we pursue its study in the case when the exact sequence is given by the multiplication by $n$ on an extension of an abelian scheme by a torus.Read less <
Origin
Hal imported