{ "id": "1510.06145", "version": "v1", "published": "2015-10-21T06:59:10.000Z", "updated": "2015-10-21T06:59:10.000Z", "title": "Families of polynomials and their specializations", "authors": [ "Arnaud Bodin", "Pierre Dèbes", "Salah Najib" ], "categories": [ "math.AG", "math.AC" ], "abstract": "For a polynomial in several variables depending on some parameters, we discuss some results to the effect that for almost all values of the parameters the polynomial is irreducible. In particular we recast in this perspective some results of Grothendieck and of Gao.", "revisions": [ { "version": "v1", "updated": "2015-10-21T06:59:10.000Z" } ], "analyses": { "keywords": [ "polynomial", "specializations", "parameters" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151006145B" } } }