Variétés abéliennes et invariants arithmétiques

Details Variétés abéliennes et invariants arithmétiques Variétés abéliennes et invariants arithmétiques

2004-01-30

arxiv.org/abs/math/0401445v5

Annales de l'Institut Fourier 56 (2006), 277-297

Mathematics

Number Theory

16 pages, LaTeX. Remark 1.5 added. Accepted for publication in the Annales de l'Institut Fourier

Scientific paper

We define here an analogue, for the N\'eron model of a semi-stable abelian variety defined over a number field, of M. J. Taylor's class-invariant homomorphism (defined for abelian schemes). Then we extend an annulation result (in the case of an elliptic curve), and an injectivity result regarding an arakelovian version of this homomorphism. This is the sequel to the paper "Invariants de classes : le cas semi-stable".

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