G. Valla: Parametrization of ideals in k[x,y].

Abstract. An Artinian ideal I of k[x,y] has many Hilbert Burch matrices. We show that there is a canonical choice. As an application we determine the dimension of certain affine Groebner-cells and their Betti strata, recovering results of Ellinsgrud and Stromme, Gottsche and Iarrobino.