Koszul homology and syzygies of Veronese subalgebras

DC FieldValueLanguage
dc.contributor.authorBruns, Winfried
dc.contributor.authorConca, Aldo
dc.contributor.authorRoemer, Tim
dc.date.accessioned2021-12-23T16:11:25Z-
dc.date.available2021-12-23T16:11:25Z-
dc.date.issued2011
dc.identifier.issn00255831
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9692-
dc.description.abstractA graded K-algebra R has property N (p) if it is generated in degree 1, has relations in degree 2 and the syzygies of order a parts per thousand currency sign p on the relations are linear. The Green-Lazarsfeld index of R is the largest p such that it satisfies the property N (p) . Our main results assert that (under a mild assumption on the base field) the cth Veronese subring of a polynomial ring has Green-Lazarsfeld index a parts per thousand yen c 1. The same conclusion also holds for an arbitrary standard graded algebra, provided c >> 0.
dc.language.isoen
dc.publisherSPRINGER HEIDELBERG
dc.relation.ispartofMATHEMATISCHE ANNALEN
dc.subjectMathematics
dc.subjectREGULARITY
dc.titleKoszul homology and syzygies of Veronese subalgebras
dc.typejournal article
dc.identifier.doi10.1007/s00208-010-0616-1
dc.identifier.isiISI:000297176900001
dc.description.volume351
dc.description.issue4
dc.description.startpage761
dc.description.endpage779
dc.contributor.orcid0000-0001-5897-9985
dc.identifier.eissn14321807
dc.publisher.placeTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
dcterms.isPartOf.abbreviationMath. Ann.
dcterms.oaStatusGreen Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
crisitem.author.netidRoTi119-
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