A Structure Theorem For 2-Stretched Gorenstein Algebras

Journal of Commutative Algebra（2016）

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Abstract

In this paper, we study isomorphism classes of local, Artinian, Gorenstein k-algebras A whose maximal ideal m satisfies dim(k) (m(3)/m(4)) = 1 by means of Macaulay's inverse system generalizing a recent result by Elias and Rossi. Then we use such results in order to complete the description of the singular locus of the Gorenstein locus of Hilb(11)(P-k(n))

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Key words

Local,Artinian,Gorenstein algebras,Macaulay's correspondence,punctual Hilbert scheme

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