Autour de la conjecture de Zilber-Pink
Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 405-414.

Nous dressons un rapide panorama de résultats allant dans le sens de la conjecture suivante : l’intersection d’une sous-variété X d’une variété semi-abélienne A et de l’union de tous les sous-groupes algébriques de A de codimension au moins dimX+1 n’est pas Zariski-dense dans X dès que X n’est pas contenue dans un sous-groupe algébrique strict de A.

We describe some results toward the following conjecture: if X is an irreducible subvariety of a semi-abelian variety A, its intersection with the union of all algebraic subgroups A of codimension greater than the dimension of X is not Zariski-dense in X, unless X is contained in a proper algebraic subgroup of A.

DOI : 10.5802/jtnb.677
Rémond, Gaël 1

1 Institut Fourier, UMR 5582 BP 74 38402 Saint-Martin-d’Hères Cedex, France
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Rémond, Gaël. Autour de la conjecture de Zilber-Pink. Journal de théorie des nombres de Bordeaux, Tome 21 (2009) no. 2, pp. 405-414. doi : 10.5802/jtnb.677. http://www.numdam.org/articles/10.5802/jtnb.677/

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