Variétés abéliennes et invariants arithmétiques  [ Abelian varieties and arithmetic class invariants ]
Annales de l'Institut Fourier, Volume 56 (2006) no. 2, pp. 277-297.

As the sequel to our preceeding works, we study an analogue, for the Néron model of a semi-stable abelian variety defined over a number field, of M. J. Taylor’s class-invariant homomorphism, which allows us to measure Galois module structure of torsors.

Dans la continuité de nos travaux précédents, nous étudions un analogue, pour le modèle de Néron d’une variété abélienne semi-stable sur un corps de nombres, du class-invariant homomorphism introduit par M. J. Taylor, qui nous permet de mesurer la structure galoisienne de certains torseurs.

Received: 2005-06-27
Accepted: 2005-07-25
DOI: https://doi.org/10.5802/aif.2181
Classification: 11G,  11R,  14K
Keywords: Torsors, Galois module structure, elliptic curves, biextensions, duality
@article{AIF_2006__56_2_277_0,
     author = {Gillibert, Jean},
     title = {Vari\'et\'es ab\'eliennes et invariants arithm\'etiques},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {56},
     number = {2},
     year = {2006},
     pages = {277-297},
     doi = {10.5802/aif.2181},
     zbl = {1091.11021},
     mrnumber = {2226015},
     language = {fr},
     url={aif.centre-mersenne.org/item/AIF_2006__56_2_277_0/}
}
Gillibert, Jean. Variétés abéliennes et invariants arithmétiques. Annales de l'Institut Fourier, Volume 56 (2006) no. 2, pp. 277-297. doi : 10.5802/aif.2181. https://aif.centre-mersenne.org/item/AIF_2006__56_2_277_0/

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