A structure theorem for 2-stretched Gorenstein algebras
Commutative Algebra
2014-06-12 v2 Algebraic Geometry
Abstract
In this paper we study the 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 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 the punctual Hilbert scheme of degree 11.
Cite
@article{arxiv.1312.2191,
title = {A structure theorem for 2-stretched Gorenstein algebras},
author = {Gianfranco Casnati and Roberto Notari},
journal= {arXiv preprint arXiv:1312.2191},
year = {2014}
}
Comments
24 pages. We removed lemma 2.1 because it was false and we modified the proof of proposition 3.2 accordingly inserting some new due references