no. 5
Effective equidistribution of S-integral points on symmetric varieties
[Équidistribution effective des points S-entiers des variétés symétriques]
Benoist, Yves1 ; Oh, Hee2
1 Université d’Orsay, Mathématiques Bat. 425, 91405 Orsay France
2 Brown University
Annales de l'Institut Fourier, Tome 62 (2012) no. 5, pp. 1889-1942.

Soit K un corps global de caractéristique différente de 2. Soit Z=H∖G une variété symétrique définie sur K et S un ensemble fini de places de K. Nous obtenons des résultats de comptage et d’équidistribution pour les points S-entiers de Z. Nos résultats sont effectifs quand K est un corps de nombre.

Let K be a global field of characteristic not 2. Let Z=H∖G be a symmetric variety defined over K and S a finite set of places of K. We obtain counting and equidistribution results for the S-integral points of Z. Our results are effective when K is a number field.

DOI : 10.5802/aif.2738
Classification : 11G35 11S82 14G05 22E40 37A25 37P30
Keywords: Counting, equidistribution, rational points, mixing, , symmetric spaces, polar decomposition, resolution of singularities.
Mot clés : Comptage, équidistribution, points rationnels, mélange, espaces symétriques, décomposition polaire, résolution des singularités.

Benoist, Yves 1 ; Oh, Hee 2

1 Université d’Orsay, Mathématiques Bat. 425, 91405 Orsay France
2 Brown University 
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Benoist, Yves; Oh, Hee. Effective equidistribution of S-integral points on symmetric varieties. Annales de l'Institut Fourier, Tome 62 (2012) no. 5, pp. 1889-1942. doi : 10.5802/aif.2738. https://aif.centre-mersenne.org/articles/10.5802/aif.2738/

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