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Title: On the Weak Lefcchetz property for artinian Gorenstein algebras
Author: Boij, Mats
Migliore, Juan C. (Juan Carlos), 1956-
Miró-Roig, Rosa M. (Rosa Maria)
Nagel, Uwe
Zanell, Fabrizio
Keywords: Àlgebra homològica
Morfismes (Matemàtica)
Homological algebra
Morphisms (Mathematics)
Issue Date: 1-Feb-2014
Publisher: Elsevier
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 .
Note: Versió postprint del document publicat a:
It is part of: Journal of Algebra, 2014, vol. 403, p. 48-68
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ISSN: 0021-8693
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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