dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Moyano-Fernández, Julio José | |
dc.contributor.author | Uliczka, Jan | |
dc.date.accessioned | 2017-07-13T09:28:59Z | |
dc.date.available | 2017-07-13T09:28:59Z | |
dc.date.issued | 2017-06 | |
dc.identifier.citation | BRUNS, Winfried; MOYANO-FERNÁNDEZ, Julio José; ULICZKA, Jan. Hilbert regularity of Z-graded modules over polynomial rings. Journal of Commutative Algebra 9, no. 2, 2017, pp. 157-184. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/168287 | |
dc.description.abstract | Let M be a finitely generated Z-graded module over the standard graded polynomial ring R=K[X1,…,Xd] with K a field, and let HM(t)=QM(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 HM. 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 QM(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. | ca_CA |
dc.description.sponsorShip | The second author was partially supported by the Spanish GovernmentMinisterio de Educaci´on y Ciencia
(MEC), grants MTM2007-64704 and MTM2012–36917–C03–03 in cooperation with the European
Union in the framework of the founds “FEDER”. | ca_CA |
dc.format.extent | 27 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Rocky Mountain Mathematics Consortium | ca_CA |
dc.relation.isPartOf | Journal of Commutative Algebra 9, no. 2, 2017 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Hilbert regularity | ca_CA |
dc.subject | boundary presentation of a rational function | ca_CA |
dc.subject | nonnegative power series | ca_CA |
dc.subject | Hilbert depth | ca_CA |
dc.title | Hilbert regularity of Z-graded modules over polynomial rings | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1216/JCA-2017-9-2-157 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://projecteuclid.org/euclid.jca/1496476820#abstract | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion | |