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• W1480985708 abstract "Let R be a polynomial ring in r variables over an infinite field K, and denote by D a corresponding dual ring, upon which R acts as differential operators. We study type two graded level Artinian algebras A = R/I, having socle degree j. For each such algebra A, we consider the family of Artinian Gorenstein [AG] quotients of A having the same socle degree. By Macaulay duality, A corresponds to a unique 2-dimensional vector space WA of forms in Dj, and each such AG quotient of A corresponds to a form in WA - up to non-zero multiple." @default.
• W1480985708 created "2016-06-24" @default.
• W1480985708 creator A5038142466 @default.
• W1480985708 date "2004-12-18" @default.
• W1480985708 modified "2023-09-27" @default.
• W1480985708 title "Hilbert functions of Gorenstein algebras associated to a pencil of forms" @default.
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