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On the Weak Lefschetz Property for artinian Gorenstein algebras of codimension three
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9961-383X
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2014 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 403, 48-68 p.Article in journal (Refereed) Published
Abstract [en]

We study the problem of whether an arbitrary codimension three graded artinian Gorenstein algebra has the Weak Lefschetz Property. We reduce this problem to checking whether it holds for all compressed Gorenstein algebras of odd socle degree. In the first open case, namely Hilbert function (1, 3, 6, 6, 3, 1), we give a complete answer in every characteristic by translating the problem to one of studying geometric aspects of certain morphisms from P2 to P3, and Hesse configurations in P2.

Place, publisher, year, edition, pages
2014. Vol. 403, 48-68 p.
Keyword [en]
Artinian algebra, Gorenstein algebra, Hesse configuration, Primary, Secondary, Weak Lefschetz Property
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URN: urn:nbn:se:kth:diva-142983DOI: 10.1016/j.jalgebra.2014.01.003ISI: 000332349700004ScopusID: 2-s2.0-84893155346OAI: diva2:705188

QC 20140314

Available from: 2014-03-14 Created: 2014-03-14 Last updated: 2014-04-22Bibliographically approved

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Boij, Mats
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