## Heights and measures on analytic spaces. A survey of recent results, and some remarks.(English)Zbl 1279.14027

Cluckers, Raf (ed.) et al., Motivic integration and its interactions with model theory and non-archimedean geometry. Vol. II. Cambridge: Cambridge University Press (ISBN 978-1-107-64881-4/pbk). London Mathematical Society Lecture Note Series 384, 1-50 (2011).
Summary: This paper has two goals. The first is to present the construction, due to the author [J. Reine Angew. Math. 595, 215–235 (2006; Zbl 1112.14022)], 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.
For the entire collection see [Zbl 1230.14004].

### MSC:

 14G22 Rigid analytic geometry 14G40 Arithmetic varieties and schemes; Arakelov theory; heights 11G40 $$L$$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture

Zbl 1112.14022
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