Vari\'et\'es ab\'eliennes et invariants arithm\'etiques
Number Theory
2009-11-11 v5 Algebraic Geometry
Abstract
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".
Cite
@article{arxiv.math/0401445,
title = {Vari\'et\'es ab\'eliennes et invariants arithm\'etiques},
author = {Jean Gillibert},
journal= {arXiv preprint arXiv:math/0401445},
year = {2009}
}
Comments
16 pages, LaTeX. Remark 1.5 added. Accepted for publication in the Annales de l'Institut Fourier