Archivio Istituzionale della RicercaIn this paper we study the isomorphism classes of local, Artinian, Gorenstein $k$--algebras $A$ whose maximal ideal $\frak M$ satisfies $\dim_k(\fM^3/\fM^4)=1$ by means of Macaulay's inverse system generalizing a recent result by J. Elias and M.E. Rossi. Then we use such results in order to complete the description of the singular locus of the Gorenstein locus of $\Hilb_{11}(\p n)$.
A structure theorem for 2-stretched Gorenstein algebras / Casnati, Gianfranco; Notari, Roberto. - In: JOURNAL OF COMMUTATIVE ALGEBRA. - ISSN 1939-0807. - STAMPA. - 8:(2016), pp. 295-335. [10.1216/JCA-2016-8-3-295]
A structure theorem for 2-stretched Gorenstein algebras
CASNATI, GIANFRANCO;NOTARI, ROBERTO
2016
Abstract
In this paper we study the isomorphism classes of local, Artinian, Gorenstein $k$--algebras $A$ whose maximal ideal $\frak M$ satisfies $\dim_k(\fM^3/\fM^4)=1$ by means of Macaulay's inverse system generalizing a recent result by J. Elias and M.E. Rossi. Then we use such results in order to complete the description of the singular locus of the Gorenstein locus of $\Hilb_{11}(\p n)$.
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https://hdl.handle.net/11583/2650509
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