{ "id": "1809.07461", "version": "v1", "published": "2018-09-20T03:28:32.000Z", "updated": "2018-09-20T03:28:32.000Z", "title": "A note on Castelnuovo-Mumford regularity and Hilbert coefficients", "authors": [ "Le Xuan Dung", "Le Tuan Hoa" ], "categories": [ "math.AC" ], "abstract": "New upper and lower bounds on the Castelnuovo-Mumford regularity are given in terms of the Hilbert coefficients. Examples are provided to show that these bounds are in some sense nearly sharp.", "revisions": [ { "version": "v1", "updated": "2018-09-20T03:28:32.000Z" } ], "analyses": { "subjects": [ "13D45", "13A30" ], "keywords": [ "castelnuovo-mumford regularity", "hilbert coefficients", "lower bounds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }