Section: New Results
Computing minimal Gorenstein covers
Participant : Bernard Mourrain.
In [7], we analyze and present an effective solution to the minimal Gorenstein cover problem: given a local Artin –algebra , compute an Artin Gorenstein –algebra such that is minimal. We approach the problem by using Macaulay's inverse systems and a modification of the integration method for inverse systems to compute Gorenstein covers. We propose new characterizations of the minimal Gorenstein cover and present a new algorithm for the effective computation of the variety of all minimal Gorenstein covers of for low Gorenstein colength. Experimentation illustrates the practical behavior of the method.
This is a joint work with Juan Elias and Roser Homs (Dep. de Matematiques i Informatica, Universitat de Barcelona).