{ "id": "math/0505472", "version": "v1", "published": "2005-05-23T14:04:58.000Z", "updated": "2005-05-23T14:04:58.000Z", "title": "Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach", "authors": [ "Nero Budur", "Mircea Mustata", "Morihiko Saito" ], "comment": "17pages", "journal": "Math. Res. Lett. 13 (2006), no. 1, 125--142.", "categories": [ "math.AG", "math.AC" ], "abstract": "We describe the roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod p and invariants of singularities in positive chracteristic. We give in this setting a positive answer to a problem of Takagi, Watanabe and the second author, concerning the dependence on the characteristic for these invariants of singularities.", "revisions": [ { "version": "v1", "updated": "2005-05-23T14:04:58.000Z" } ], "analyses": { "subjects": [ "14B05", "13N10", "32S40" ], "keywords": [ "positive characteristic approach", "bernstein-sato polynomial", "monomial ideal", "second author", "reduction mod" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5472B" } } }