Fonctions zêta des hauteurs des espaces fibrés
Chambert-Loir, Antoine ; Tschinkel, Yuri
HAL, hal-00136086 / Harvested from HAL
This paper is devoted to the estimation of the number of points of bounded height on fibrations in toric varieties over algebraic varieties, generalizing previous work by Strauch and the second author. Under reasonable hypotheses on ``Arakelov L-functions'' of the base, we show how to deduce a good estimate for the open subset of the total space of the unerlying fibration in torus. In passing, we improve drastically the error term for toric varieties themselves, generalizing a theorem by de la Breteche over any number field.
Publié le : 2001-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
@article{hal-00136086,
     author = {Chambert-Loir, Antoine and Tschinkel, Yuri},
     title = {Fonctions z\^eta des hauteurs des espaces fibr\'es},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00136086}
}
Chambert-Loir, Antoine; Tschinkel, Yuri. Fonctions zêta des hauteurs des espaces fibrés. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00136086/