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2014-02-01

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cc-by-nc-nd (c) Elsevier, 2014
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/174253

On the Weak Lefcchetz property for artinian Gorenstein algebras

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https://doi.org/10.1016/j.jalgebra.2014.01.003

Abstract

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 , we give a complete answer in every characteristic by translating the problem to one of studying geometric aspects of certain morphisms from to , and Hesse configurations in .

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Àlgebra homològica, Morfismes (Matemàtica)

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Homological algebra, Morphisms (Mathematics)

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Articles publicats en revistes (Matemàtiques i Informàtica)

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BOIJ, Mats, et al. On the Weak Lefcchetz property for artinian Gorenstein algebras. Journal of Algebra. 2014. Vol. 403, num. 48-68. ISSN 0021-8693. [consulted: 11 of August of 2026]. Available at: https://hdl.handle.net/2445/174253

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