A STRUCTURE THEOREM FOR 2-STRETCHED GORENSTEIN ALGEBRAS

作者：Casnati Gianfranco^*; Notari Roberto

来源：Journal of Commutative Algebra, 2016, 8(3): 295-335.

DOI：10.1216/JCA-2016-8-3-295

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

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))

• 出版日期2016