In this paper, we study isomorphism classes of local, Artinian, Gorenstein k-algebras A whose maximal ideal M satisfies dimk(M3/M4)=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 Hilb11(pn).

A structure theorem for 2-stretched Gorenstein algebras

NOTARI, ROBERTO
2016-01-01

Abstract

In this paper, we study isomorphism classes of local, Artinian, Gorenstein k-algebras A whose maximal ideal M satisfies dimk(M3/M4)=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 Hilb11(pn).
2016
Local Artinian Gorenstein algebras, Macaulay's correspondence, punctual Hilbert scheme
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/998065
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