Characteristic-free bounds for the Castelnuovo-Mumford regularity

Simple item page
dc.creatorCaviglia, Giulio
dc.creatorSbarra, Enrico
dc.date2003-10-08
dc.date.accessioned2026-07-07T05:01:44Z
dc.date.available2026-07-07T05:01:44Z
dc.descriptionWe study bounds for the Castelnuovo-Mumford regularity of homogeneous ideals in a polynomial ring in terms of the number of variables and the degree of the generators. In particular our aim is to give a positive answer to a question posed by Bayer and Mumford, by showing that the known upper bound in characteristic zero holds true also in positive characteristic. We first analyze Giusti's proof, which provides the result in characteristic 0, giving some insight on the combinatorial properties needed in that context. For the general case we provide a new argument which employs Bayer and Stillman criterion for detecting regularity.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0310122
dc.identifierhttp://arxiv.org/abs/math/0310122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68787
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02, 13P10, 13D45
dc.titleCharacteristic-free bounds for the Castelnuovo-Mumford regularity
dc.typetext

Files

Collections

arXiv