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Torseurs Universels Et Méthode Du Cercle

  • Conference paper
Rational Points on Algebraic Varieties

Part of the book series: Progress in Mathematics ((PM,volume 199))

Résumé

Ce texte décrit les premières étapes d’une généralisation de la méthode du cercle au cas d’une hypersurface lisse dans une variété presque de Fano.

En effet, sous certaines conditions, il est possible d’exprimer dans ce cas les deux membres d’une version raffinée de la conjecture de Manin sur le comportement asymptotique du nombre de points de hauteur bornée de l’hypersurface en termes des torseurs universels de la variété ambiante qui jouent, dans ce cadre, le rôle de l’espace affine.

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Author information

Authors and Affiliations

  1. Institut Fourier, UFR de Mathématiques, UMR 5582, Université de Grenoble I et CNRS, Saint-Martin d’Hères CEDEX, France, 38402, BP 74

    Emmanuel Peyre

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  1. Emmanuel Peyre
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Editors and Affiliations

  1. Institut Fourier, UFR de Mathématiques, UMR 5582, Université de Grenoble I et CNRS, B.P. 74, 38402, Saint-Martin d’Hères, France

    Emmanuel Peyre

  2. Department of Mathematics, Princeton University, Washington Road, Princeton, 08544-1000, NJ, USA

    Yuri Tschinkel

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© 2001 Springer Basel AG

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Peyre, E. (2001). Torseurs Universels Et Méthode Du Cercle. In: Peyre, E., Tschinkel, Y. (eds) Rational Points on Algebraic Varieties. Progress in Mathematics, vol 199. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8368-9_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8368-9_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9536-1

  • Online ISBN: 978-3-0348-8368-9

  • eBook Packages: Springer Book Archive

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