We describe some results toward the following conjecture: if is an irreducible subvariety of a semi-abelian variety , its intersection with the union of all algebraic subgroups of codimension greater than the dimension of is not Zariski-dense in , unless is contained in a proper algebraic subgroup of .
Nous dressons un rapide panorama de résultats allant dans le sens de la conjecture suivante : l’intersection d’une sous-variété d’une variété semi-abélienne et de l’union de tous les sous-groupes algébriques de de codimension au moins n’est pas Zariski-dense dans dès que n’est pas contenue dans un sous-groupe algébrique strict de .
@article{JTNB_2009__21_2_405_0, author = {R\'emond, Ga\"el}, title = {Autour de la conjecture de {Zilber-Pink}}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {405--414}, publisher = {Universit\'e Bordeaux 1}, volume = {21}, number = {2}, year = {2009}, doi = {10.5802/jtnb.677}, zbl = {1196.11083}, mrnumber = {2541432}, language = {fr}, url = {http://archive.numdam.org/articles/10.5802/jtnb.677/} }
TY - JOUR AU - Rémond, Gaël TI - Autour de la conjecture de Zilber-Pink JO - Journal de théorie des nombres de Bordeaux PY - 2009 SP - 405 EP - 414 VL - 21 IS - 2 PB - Université Bordeaux 1 UR - http://archive.numdam.org/articles/10.5802/jtnb.677/ DO - 10.5802/jtnb.677 LA - fr ID - JTNB_2009__21_2_405_0 ER -
Rémond, Gaël. Autour de la conjecture de Zilber-Pink. Journal de théorie des nombres de Bordeaux, Volume 21 (2009) no. 2, pp. 405-414. doi : 10.5802/jtnb.677. http://archive.numdam.org/articles/10.5802/jtnb.677/
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