{ "id": "math/9808055", "version": "v1", "published": "1998-08-12T20:55:16.000Z", "updated": "1998-08-12T20:55:16.000Z", "title": "Integral points on subvarieties of semiabelian varieties, II", "authors": [ "Paul Vojta" ], "comment": "31 pages, amstex with rsfs fonts", "journal": "Amer. J. Math. 121 (1999) 283-313", "categories": [ "math.NT", "math.AG" ], "abstract": "This paper proves a finiteness result for families of integral points on a semiabelian variety minus a divisor, generalizing the corresponding result of Faltings for abelian varieties. Combined with the main theorem of the first part of this paper, this gives a finiteness statement for integral points on a closed subvariety of a semiabelian variety, minus a divisor. In addition, the last two sections generalize some standard results on closed subvarieties of semiabelian varieties to the context of closed subvarieties minus divisors.", "revisions": [ { "version": "v1", "updated": "1998-08-12T20:55:16.000Z" } ], "analyses": { "subjects": [ "11G10", "11J25", "14G05", "14K15" ], "keywords": [ "integral points", "closed subvariety", "semiabelian variety minus", "closed subvarieties minus divisors", "finiteness result" ], "tags": [ "journal article" ], "note": { "typesetting": "AMS-TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......8055V" } } }