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

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

2010-01-14

arxiv.org/abs/1001.2517v2

Motivic Integration and its Interaction with Model Theory and Non-Archimedean Geometry, vol. 2, p. 1-50, Cambridge University

Mathematics

Number Theory

41 pages, final version. To appear in: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry

Scientific paper

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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