{ "id": "math/0405006", "version": "v1", "published": "2004-05-01T11:30:44.000Z", "updated": "2004-05-01T11:30:44.000Z", "title": "Canonical heights, invariant currents, and dynamical systems of morphisms associated with line bundles", "authors": [ "Shu Kawaguchi" ], "comment": "33 pages", "categories": [ "math.NT", "math.AG" ], "abstract": "We construct canonical heights of subvarieties for dynamical system of several morphisms associated with line bundles defined over a number field, and study some of their properties. We also construct invariant currents for such systems over $\\mathbb{C}$.", "revisions": [ { "version": "v1", "updated": "2004-05-01T11:30:44.000Z" } ], "analyses": { "subjects": [ "11G50", "14G40", "58F23" ], "keywords": [ "dynamical system", "construct invariant currents", "construct canonical heights", "number field" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......5006K" } } }