A remark on regularity of powers and products of ideals
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Conca, Aldo | |
dc.date.accessioned | 2021-12-23T16:11:54Z | - |
dc.date.available | 2021-12-23T16:11:54Z | - |
dc.date.issued | 2017 | |
dc.identifier.issn | 00224049 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/9947 | - |
dc.description.abstract | We give a simple proof for the fact that the Castelnuovo Mumford regularity and related invariants of products of powers of ideals are asymptotically linear in the exponents, provided that each ideal is generated by elements of constant degree. We provide examples showing that the asymptotic linearity is false in general. On the other hand, the regularity is always given by the maximum of finitely many linear functions whose coefficients belong to the set of the degrees of generators of the ideals. (C) 2017 Elsevier B.V. All rights reserved. | |
dc.description.sponsorship | DAAD-MIUR Joint Mobility Programm PPP Italien [57267452]; The authors are grateful to Alessio Sammartano for his help in using Macaulay 2 and to Marc Chardin for pointing out the results in [2], DAAD-MIUR Joint Mobility Programm PPP Italien 57267452. | |
dc.language.iso | en | |
dc.publisher | ELSEVIER SCIENCE BV | |
dc.relation.ispartof | JOURNAL OF PURE AND APPLIED ALGEBRA | |
dc.subject | CASTELNUOVO-MUMFORD REGULARITY | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.title | A remark on regularity of powers and products of ideals | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.jpaa.2017.02.005 | |
dc.identifier.isi | ISI:000403857300010 | |
dc.description.volume | 221 | |
dc.description.issue | 11 | |
dc.description.startpage | 2861 | |
dc.description.endpage | 2868 | |
dc.identifier.eissn | 18731376 | |
dc.publisher.place | PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS | |
dcterms.isPartOf.abbreviation | J. Pure Appl. Algebr. | |
dcterms.oaStatus | Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
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geprüft am 17.05.2024