Fonctions ZÊta Des Hauteurs Des Espaces Fibrés

@inproceedings{ChambertLoir2000FonctionsZD,
  title={Fonctions Z{\^E}ta Des Hauteurs Des Espaces Fibr{\'e}s},
  author={Antoine Chambert-Loir and Yuri Tschinkel},
  year={2000}
}
In this paper we study the compatibility of Manin’s conjectures concerning asymptotics of rational points on algebraic varieties with certain natural geometric constructions. More precisely, we consider locally trivial fibrations constructed from torsors under linear algebraic groups. The main problem is to understand the behaviour of the height function as one passes from fiber to fiber - a difficult problem, even though all fibers are isomorphic. We will be mostly interested in fibrations… Expand
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