Isomorphism classes of certain Artinian Gorenstein algebras

TL;DR

This paper classifies certain Artinian Gorenstein algebras up to isomorphism, focusing on almost stretched complete intersections with a fixed Hilbert function in power series rings.

Contribution

It provides a classification of almost stretched Artinian Gorenstein algebras up to analytic isomorphism for arbitrary variables.

Findings

Complete classification of almost stretched Artinian Gorenstein algebras.

Results applicable to power series rings with any number of variables.

Clarifies the structure of these algebras under isomorphism.

Abstract

In this paper we classify, up to analytic isomorphism, the family of almost stretched Artinian complete intersection A=R/I with a given Hilbert function, in the case R is a power series ring with an arbitrary number of variables.