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Vidéo Année : 2017

E. Peyre - Slopes and distribution of points (part3)

Afficher 

Emmanuel Peyre
Jérémy Magnien
  • Fonction : Réalisateur
  • PersonId : 966327

Résumé

The distribution of rational points of bounded height on algebraic varieties is far from uniform. Indeed the points tend to accumulate on thin subsets which are images of non-trivial finite morphisms. The problem is to find a way to characterise these thin subsets. The slopes introduced by Jean-Benoît Bost are a useful tool for this problem. These lectures will present several cases in which this approach is fruitful. We shall also describe the notion of locally accumulating subvarieties which arise when one considers rational points of bounded height near a fixed rational point.

Dates et versions

medihal-01719470 , version 1 (28-02-2018)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : medihal-01719470 , version 1

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Emmanuel Peyre, Jérémy Magnien. E. Peyre - Slopes and distribution of points (part3): Summer School 2017 - Arakelov Geometry and diophantine applications. 2017. ⟨medihal-01719470⟩
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