Heights and measures on analytic spaces. A survey of recent results, and some remarks

Antoine Chambert-Loir (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

This paper has two goals. The first is to present the construction, due to the author, of measures on non-archimedean analytic varieties associated to metrized line bundles and some of its applications. We take this opportunity to add remarks, examples and mention related results.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Antoine Chambert-Loir. Heights and measures on analytic spaces. A survey of recent results, and some remarks. Raf Cluckers, Johannes Nicaise, Julien Sebag. Motivic integration and its interactions with model theory and non-archimedean geometry: volume 2, Cambridge University Press, pp.1-50, 2011, London Mathematical Society Lecture Note Series 384, 978-1107648814. ⟨hal-00455574⟩