Betti numbers of symmetric shifted ideals

DC ElementWertSprache
dc.contributor.authorBiermann, Jennifer
dc.contributor.authorde Alba, Hernan
dc.contributor.authorGaletto, Federico
dc.contributor.authorMurai, Satoshi
dc.contributor.authorNagel, Uwe
dc.contributor.authorO'Keefe, Augustine
dc.contributor.authorRoemer, Tim
dc.contributor.authorSeceleanu, Alexandra
dc.date.accessioned2021-12-23T16:23:35Z-
dc.date.available2021-12-23T16:23:35Z-
dc.date.issued2020
dc.identifier.issn00218693
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/14594-
dc.description.abstractWe 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.sponsorshipKAKENHIMinistry 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.isoen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofJOURNAL OF ALGEBRA
dc.subjectBetti numbers
dc.subjectEquivariant resolution
dc.subjectLinear quotients
dc.subjectMathematics
dc.subjectMINIMAL FREE RESOLUTION
dc.subjectShifted ideal
dc.subjectStar configuration
dc.subjectSTAR-CONFIGURATION
dc.subjectSymbolic power
dc.titleBetti numbers of symmetric shifted ideals
dc.typejournal article
dc.identifier.doi10.1016/j.jalgebra.2020.04.037
dc.identifier.isiISI:000557787200014
dc.description.volume560
dc.description.startpage312
dc.description.endpage342
dc.contributor.orcid0000-0002-4573-7933
dc.contributor.orcid0000-0003-3459-5148
dc.contributor.orcid0000-0002-7929-5424
dc.contributor.researcheridAAZ-7743-2020
dc.identifier.eissn1090266X
dc.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dcterms.isPartOf.abbreviationJ. Algebra
dcterms.oaStatusGreen Submitted, Bronze
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidRoTi119-
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