Betti numbers of symmetric shifted ideals
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Biermann, Jennifer | |
dc.contributor.author | de Alba, Hernan | |
dc.contributor.author | Galetto, Federico | |
dc.contributor.author | Murai, Satoshi | |
dc.contributor.author | Nagel, Uwe | |
dc.contributor.author | O'Keefe, Augustine | |
dc.contributor.author | Roemer, Tim | |
dc.contributor.author | Seceleanu, Alexandra | |
dc.date.accessioned | 2021-12-23T16:23:35Z | - |
dc.date.available | 2021-12-23T16:23:35Z | - |
dc.date.issued | 2020 | |
dc.identifier.issn | 00218693 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/14594 | - |
dc.description.abstract | We introduce a new class of monomial ideals which we call symmetric shifted ideals. Symmetric shifted ideals are fixed by the natural action of the symmetric group and, within the class of monomial ideals fixed by this action, they can be considered as an analogue of stable monomial ideals within the class of monomial ideals. We show that a symmetric shifted ideal has linear quotients and compute its (equivariant) graded Betti numbers. As an application of this result, we obtain several consequences for graded Betti numbers of symbolic powers of defining ideals of star configurations. (C) 2020 Elsevier Inc. All rights Inc. All rights reserved. | |
dc.description.sponsorship | KAKENHIMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of ScienceGrants-in-Aid for Scientific Research (KAKENHI) [16K05102]; Simons Foundation [317096]; NSFNational Science Foundation (NSF) [DMS-1601024]; EPSCoR award [OIA-1557417]; This work was started at the workshop ``Ordinary and Symbolic Powers of Ideals'' at Casa Matematica Oaxaca (CMO) in May 2017. We thank the organizers of the workshop and CMO for their kind invitation and warm hospitality.; The research of the fourth author is partially supported by KAKENHI 16K05102. The fifth author was partially supported by Simons Foundation grant #317096. The last author was supported by NSF grant DMS-1601024 and EPSCoR award OIA-1557417. | |
dc.language.iso | en | |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | |
dc.relation.ispartof | JOURNAL OF ALGEBRA | |
dc.subject | Betti numbers | |
dc.subject | Equivariant resolution | |
dc.subject | Linear quotients | |
dc.subject | Mathematics | |
dc.subject | MINIMAL FREE RESOLUTION | |
dc.subject | Shifted ideal | |
dc.subject | Star configuration | |
dc.subject | STAR-CONFIGURATION | |
dc.subject | Symbolic power | |
dc.title | Betti numbers of symmetric shifted ideals | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.jalgebra.2020.04.037 | |
dc.identifier.isi | ISI:000557787200014 | |
dc.description.volume | 560 | |
dc.description.startpage | 312 | |
dc.description.endpage | 342 | |
dc.contributor.orcid | 0000-0002-4573-7933 | |
dc.contributor.orcid | 0000-0003-3459-5148 | |
dc.contributor.orcid | 0000-0002-7929-5424 | |
dc.contributor.researcherid | AAZ-7743-2020 | |
dc.identifier.eissn | 1090266X | |
dc.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | |
dcterms.isPartOf.abbreviation | J. Algebra | |
dcterms.oaStatus | Green Submitted, Bronze | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | RoTi119 | - |
Seitenaufrufe
3
Letzte Woche
0
0
Letzter Monat
2
2
geprüft am 01.06.2024