目次

Forms and catalecticant matrices.- Sums of powers of linear forms, and gorenstein algebras.- Tangent spaces to catalecticant schemes.- The locus PS(s, j; r) of sums of powers, and determinantal loci of catalecticant matrices.- Forms and zero-dimensional schemes I: Basic results, and the case r=3.- Forms and zero-dimensional schemes, II: Annihilating schemes and reducible Gor(T).- Connectedness and components of the determinantal locus ?V s(u, v; r).- Closures of the variety Gor(T), and the parameter space G(T) of graded algebras.- Questions and problems.