{ "id": "1005.3635", "version": "v2", "published": "2010-05-20T09:01:21.000Z", "updated": "2010-11-10T02:08:16.000Z", "title": "On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields", "authors": [ "Vijaykumar Singh", "Alexey Zatysev", "Gary McGuire" ], "comment": "This paper has been withdrawn by the authors. Updated Version Available", "categories": [ "math.AG" ], "abstract": "In this article, we derive a list of possible characteristic polynomials of the Frobenius of simple supersingular abelian varieties of dimension 1, 2, 3, 4, 5, 6, 7 over $\\mathbb{F}_q$ where $q = p^n$, n odd.", "revisions": [ { "version": "v2", "updated": "2010-11-10T02:08:16.000Z" } ], "analyses": { "subjects": [ "14H40", "14G15", "14K15", "11G10", "11G25" ], "keywords": [ "characteristic polynomial", "finite fields", "simple supersingular abelian varieties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1005.3635S" } } }