Resumen de Computing minimal gorenstein covers of artin rings of low gorenstein colength

Joan Elías García, Roser Homs Pons

• Given a local Artin k-algebra A = k[[x1, . . . xn]]/I, we are interested in providing minimal Gorenstein covers G = k[[x1, . . . xn]]/J. Our main goal is to effectively compute the variety of minimal Gorenstein covers of A for low Gorenstein colength.