{ "id": "math/0212050", "version": "v3", "published": "2002-12-03T22:21:19.000Z", "updated": "2004-08-26T19:21:55.000Z", "title": "Extensions of abelian varieties defined over a number field", "authors": [ "Matthew A. Papanikolas", "Niranjan Ramachandran" ], "comment": "11 pages", "journal": "J. Number Theory 112 (2005), 386-400", "categories": [ "math.NT", "math.AG" ], "abstract": "We study the arithmetic aspects of the finite group of extensions of abelian varieties defined over a number field. In particular, we establish relations with special values of L-functions and congruences between modular forms.", "revisions": [ { "version": "v3", "updated": "2004-08-26T19:21:55.000Z" } ], "analyses": { "subjects": [ "11G05", "11F33", "14K15" ], "keywords": [ "abelian varieties", "number field", "extensions", "arithmetic aspects", "finite group" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....12050P" } } }