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

By Antoine Chambert-Loir. 2010

61 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4881cadab9315075ba23231560a51f3e943bdb36

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In Applied Mathematics

1. Mattias Jonsson
2. S. Boucksom
3. C. Favre
4. Chi Li
5. Robert J. Berman
6. M. Mustaţă
7. J. Demailly
8. H. Blum

In Geometry and Topology

1. Mattias Jonsson
2. S. Boucksom
3. C. Favre
4. Chi Li
5. Robert J. Berman
6. M. Mustaţă
7. H. Blum
8. Yuchen Liu

In Mathematical Physics

1. Mattias Jonsson
2. S. Boucksom
3. C. Favre
4. Chi Li
5. Robert J. Berman
6. H. Blum
7. Xie Junyi
8. M. Mustaţă

Citations in the corpus

• Singular semipositive metrics in non-Archimedean geometry (2011, methodology): “ive in the sense of Zhang if it can be written as a uniform limit over Xof a SINGULAR SEMIPOSITIVE METRICS IN NON-ARCHIMEDEAN GEOMETRY 3 sequence of semipositive model metrics. The reader may consult [CL10] for a nice survey on these notions. In order to dene a general notion of singular semipositiv”