{ "id": "1001.2517", "version": "v2", "published": "2010-01-14T17:56:08.000Z", "updated": "2010-09-28T07:25:32.000Z", "title": "Heights and measures on analytic spaces. A survey of recent results, and some remarks", "authors": [ "Antoine Chambert-Loir" ], "comment": "41 pages, final version. To appear in: Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry, edited by Raf Cluckers, Johannes Nicaise, Julien Sebag", "journal": "Motivic Integration and its Interaction with Model Theory and Non-Archimedean Geometry, vol. 2, p. 1-50, Cambridge University Press (2011)", "categories": [ "math.NT", "math.AG" ], "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.", "revisions": [ { "version": "v2", "updated": "2010-09-28T07:25:32.000Z" } ], "analyses": { "subjects": [ "14G40", "14G22" ], "keywords": [ "analytic spaces", "add remarks", "metrized line bundles", "non-archimedean analytic varieties", "mention related results" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 41, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1001.2517C" } } }