Let d = dim(A) be the dimension, e the multiplicity and h = v(m)âˆ’d the embedding codimension of A. We assume that k is a characteristic zero field (see the comment after Proposition 2.3). A classicalâ€¦ (More)

For a dâˆ’dimensional Cohen-Macaulay local ring (R, m) we study the depth of the associated graded ring of R with respect to an m-primary ideal I in terms of the Vallabrega-Valla conditions and theâ€¦ (More)

Abstract. Let (R,m) be a d-dimensional Cohen-Macaulay local ring. In this note we prove, in a very elementary way, an upper bound of the first normalized Hilbert coefficient of a mprimary ideal I âŠ‚ Râ€¦ (More)

A longstanding problem in Commutative Algebra is the classification of Artin algebras. We know that there exists a finite number of isomorphism classes of Artin algebras of multiplicity at most 6,â€¦ (More)

A central problem in Algebraic Geometry is the classificatio n of several isomorphism classes of objects by considering their deformations and studying t he naturally related moduli problems, seeâ€¦ (More)

In this paper we attack the problem of the classification, up to analytic isomorphism, of Artinian Gorenstein local k-algebras with a given Hilbert Function. We solve the problem in the case theâ€¦ (More)

In this paper we study some cohomological properties of non-standard multigraded modules and Veronese transforms of them. Among others numerical characters, we study the generalized depth of a moduleâ€¦ (More)

Let R be a Cohen-Macaulay local ring with maximal ideal m. In this paper we present a procedure for computing the coefficient ideals, in particular the Ratllif-Rush closure, of a mâˆ’primary ideal I âŠ‚â€¦ (More)