DC Field | Value | Language |
dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Moyano-Fernandez, Julio Jose | |
dc.contributor.author | Uliczka, Jan | |
dc.date.accessioned | 2021-12-23T16:12:17Z | - |
dc.date.available | 2021-12-23T16:12:17Z | - |
dc.date.issued | 2017 | |
dc.identifier.issn | 19390807 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/10142 | - |
dc.description.abstract | Let M be a finitely generated Z-graded module over the standard graded polynomial ring R = K[X-1, ... ,X-d] with K a field, and let H-M(t) = Q(M)(t)/(1 - t)(d) be the Hilbert series of M. We introduce the Hilbert regularity of M as the lowest possible value of the Castelnuovo-Mumford regularity for an R-module with Hilbert series H-M. Our main result is an arithmetical description of this invariant which connects the Hilbert regularity of M to the smallest k such that the power series Q(M)(1 - t)/(1 - t)(k) has no negative coefficients. Finally, we give an algorithm for the computation of the Hilbert regularity and the Hilbert depth of an R-module. | |
dc.description.sponsorship | Mathematical Sciences Research Institute, Berkeley, CA; The first author thanks the Mathematical Sciences Research Institute, Berkeley, CA, for support and hospitality during Fall 2012 when this work was started. | |
dc.language.iso | en | |
dc.publisher | ROCKY MT MATH CONSORTIUM | |
dc.relation.ispartof | JOURNAL OF COMMUTATIVE ALGEBRA | |
dc.subject | BETTI NUMBERS | |
dc.subject | boundary presentation of a rational function | |
dc.subject | DEPTH | |
dc.subject | Hilbert depth | |
dc.subject | Hilbert regularity | |
dc.subject | IDEALS | |
dc.subject | Mathematics | |
dc.subject | nonnegative power series | |
dc.title | HILBERT REGULARITY OF Z-GRADED MODULES OVER POLYNOMIAL RINGS | |
dc.type | journal article | |
dc.identifier.doi | 10.1216/JCA-2017-9-2-157 | |
dc.identifier.isi | ISI:000404253800001 | |
dc.description.volume | 9 | |
dc.description.issue | 2 | |
dc.description.startpage | 157 | |
dc.description.endpage | 184 | |
dc.contributor.researcherid | A-4612-2012 | |
dc.contributor.researcherid | ABG-8112-2020 | |
dc.identifier.eissn | 19392346 | |
dc.publisher.place | ARIZ STATE UNIV, DEPT MATH, TEMPE, AZ 85287-1904 USA | |
dcterms.isPartOf.abbreviation | J. Commut. Algebr. | |
dcterms.oaStatus | Green Published | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |