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On polynomials with given Hilbert function and applications

cris.lastimport.scopus2024-02-12T20:03:23Z
dc.abstract.enUsing Macaulay’s correspondence we study the family of Artinian Gorenstein local algebras with fixed symmetric Hilbert function decomposition. As an application we give a new lower bound for the dimension of cactus varieties of the third Veronese embedding. We discuss the case of cubic surfaces, where interesting phenomena occur.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorRanestad, Kristian
dc.contributor.authorMarques, Pedro Macias
dc.contributor.authorJelisiejew, Joachim
dc.contributor.authorBernardi, Alessandra
dc.date.accessioned2024-01-25T15:45:29Z
dc.date.available2024-01-25T15:45:29Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume1
dc.identifier.doi10.1007/S13348-016-0190-2
dc.identifier.issn0010-0757
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114729
dc.identifier.weblinkhttps://link.springer.com/article/10.1007%2Fs13348-016-0190-2
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofCollectanea Mathematica
dc.relation.pages39-64
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn polynomials with given Hilbert function and applications
dc.typeJournalArticle
dspace.entity.typePublication