Maximal minors and linear powers

DC ElementWertSprache
dc.contributor.authorBruns, Winfried
dc.contributor.authorConca, Aldo
dc.contributor.authorVarbaro, Matteo
dc.date.accessioned2021-12-23T16:10:15Z-
dc.date.available2021-12-23T16:10:15Z-
dc.date.issued2015
dc.identifier.issn00754102
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9241-
dc.description.abstractAn ideal I in a polynomial ring S has linear powers if all the powers I-k of I have a linear free resolution. We show that the ideal of maximal minors of a sufficiently general matrix with linear entries has linear powers. The required genericity is expressed in terms of the heights of the ideals of lower order minors. In particular we prove that every rational normal scroll has linear powers.
dc.description.sponsorshipVigoni project ``Commutative algebra and combinatorics''; The work was partly supported by the 2011-12 Vigoni project ``Commutative algebra and combinatorics''.
dc.language.isoen
dc.publisherWALTER DE GRUYTER GMBH
dc.relation.ispartofJOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
dc.subjectIDEALS
dc.subjectMathematics
dc.subjectSUBALGEBRAS
dc.titleMaximal minors and linear powers
dc.typejournal article
dc.identifier.doi10.1515/crelle-2013-0026
dc.identifier.isiISI:000353809900002
dc.description.volume702
dc.description.startpage41
dc.description.endpage53
dc.contributor.orcid0000-0001-5897-9985
dc.identifier.eissn14355345
dc.publisher.placeGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
dcterms.isPartOf.abbreviationJ. Reine Angew. Math.
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
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