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(1)

Journal de Th´

eorie des Nombres

de Bordeaux

18

(2006), 1–12

´

Equidistribution des sous-vari´

et´

es de petite

hauteur

par

Pascal AUTISSIER

R´esum´e. On montre dans cet article que le th´eor`eme d’´equidistri-bution de Szpiro-Ullmo-Zhang concernant les suites de petits points sur les vari´et´es ab´eliennes s’´etend au cas des suites de sous-vari´et´es. On donne ´egalement une version quantitative de ce r´esultat.

Abstract. In this paper, the equidistribution theorem of Szpiro-Ullmo-Zhang about sequences of small points in an abelian variety is extended to the case of sequences of higher dimensional subva-rieties. A quantitative version of this result is also given.

PascalAutissier

Universit´e de Rennes I, campus de Beaulieu, 35042 Rennes Cedex, France

E-mail:[email protected]

URL:http ://name.math.univ-rennes1.fr/pascal.autissier/

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