Isomorphism classes of certain Artinian Gorenstein algebras (Q409227)

Let \(R\) be a power series ring of dimension \(h\) over an algebraically closed field \(k.\) Let \(A=R/I\) be a Gorenstein algebra, whose maximal ideal is \({\mathfrak m}.\) \(A\) is said to be almost stretched if the minimal number of generators of \({\mathfrak m}^2\) is two. The aim of the paper is to classify, up to analytic isomorphism, the family of almost stretched Gorenstein Algebras of type \((s,t)\) (the type of a such algebra is a couple of integers that we can compute from its Hilbert function). The problem is solved when \(s\geq 2t.\)