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

Abstract : 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.
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Submitted on : Wednesday, February 10, 2010 - 4:37:44 PM
Last modification on : Wednesday, April 24, 2019 - 8:28:01 AM

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  • HAL Id : hal-00455574, version 1
  • ARXIV : 1001.2517

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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⟩

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