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On the Hilbert function of Artinian local complete intersections of codimension three

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dc.abstract.enIn singularity theory or algebraic geometry, it is natural to investigate possible Hilbert functions for special algebras A such as local complete intersections or more generally Gorenstein algebras. The sequences that occur as the Hilbert functions of standard graded complete intersections are well understood classically thanks to Macaulay and Stanley. Very little is known in the local case except in codimension two. In this paper we characterise the Hilbert functions of quadratic Artinian complete intersections of codimension three. Interestingly we prove that a Hilbert function is admissible for such a Gorenstein ring if and only if is admissible for such a complete intersection. We provide an effective construction of a local complete intersection for a given Hilbert function. We prove that the symmetric decomposition of such a complete intersection ideal is determined by its Hilbert function.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorRossi, M.E.
dc.contributor.authorMasuti, Shreedevi K.
dc.contributor.authorJelisiejew, Joachim
dc.date.accessioned2024-01-25T15:46:22Z
dc.date.available2024-01-25T15:46:22Z
dc.date.issued2023
dc.description.financePublikacja bezkosztowa
dc.description.number7
dc.description.volume227
dc.identifier.doi10.1016/J.JPAA.2023.107326
dc.identifier.issn0022-4049
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114817
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0022404923000099?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of Pure and Applied Algebra
dc.relation.pages107326, 1-21
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn the Hilbert function of Artinian local complete intersections of codimension three
dc.typeJournalArticle
dspace.entity.typePublication