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.
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.
Classification : 11G, 11R, 14K
Mots clés : torseurs, structures galoisiennes, courbes elliptiques, biextensions, dualité
@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}, pages = {277--297}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {56}, number = {2}, year = {2006}, doi = {10.5802/aif.2181}, mrnumber = {2226015}, zbl = {1091.11021}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.2181/} }
TY - JOUR AU - Gillibert, Jean TI - Variétés abéliennes et invariants arithmétiques JO - Annales de l'Institut Fourier PY - 2006 DA - 2006/// SP - 277 EP - 297 VL - 56 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2181/ UR - https://www.ams.org/mathscinet-getitem?mr=2226015 UR - https://zbmath.org/?q=an%3A1091.11021 UR - https://doi.org/10.5802/aif.2181 DO - 10.5802/aif.2181 LA - fr ID - AIF_2006__56_2_277_0 ER -
Gillibert, Jean. Variétés abéliennes et invariants arithmétiques. Annales de l'Institut Fourier, Tome 56 (2006) no. 2, pp. 277-297. doi : 10.5802/aif.2181. http://www.numdam.org/articles/10.5802/aif.2181/
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