7 citations · 20 across the 16 of their papers we have counts for
14 papers · 1 filter
Inverse system of Gorenstein points in ${\mathbb P^n_{\res}}$
J. Elias, M. E. Rossi
Given a set of distinct points in $ \mathbb P^n_{\res}, $ in this paper we characterize being arithmetically Gorenstein through the ``special" structure…
Upper bounds on two Hilbert coefficients
Le Xuan Dung, Juan Elias, Le Tuan Hoa
New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be…
A constructive approach to one-dimensional Gorenstein -algebras
J. Elias, M. E. Rossi
Let be the power series ring or the polynomial ring over a field and let be an ideal of Macaulay proved that the Artinian Gorenstein -algebras are in one…
Inverse-syst.lib, Singular library for computing Macaulay's inverse systems
J. Elias
In this note we review the Singular library Inverse-syst.lib that implements Macaulay's correspondence and other related constructions for local rings.
On the canonical ideals of one-dimensional Cohen-Macaulay local rings
J. Elias
In this paper we consider the problem of finding explicitly canonical ideals of one-dimensional Cohen-Macaulay local rings. We show that Gorenstein ideals contained in a high power…
On the Hilbert function of one-dimensional local complete intersections
J. Elias, M. E. Rossi, G. Valla
The Hilbert function of standard graded algebras are well understood by Macaulay's theorem and very little is known in the local case, even if we assume that the local ring is a co…
On the last Hilbert-Samuel coefficient of isolated singularities
Juan Elias
In 1978 Lipman presented a proof of the existence of a desingularization for any excellent surface. The strategy of Lipman's proof is based on the finiteness of the number H(R) def…
Poincaré series and deformations of Gorenstein local algebras with low socle degree
Gianfranco Casnati, Juan Elias, Roberto Notari +1
Let be an algebraically closed field of characteristic , and let be an Artinian Gorenstein local commutative and Noetherian --algebra, with maximal ideal . In the…
A family of local rings with rational Poincaré Series
Juan Elias, Giuseppe Valla
In this note we compute the Poincare Series of almost stretched Gorenstein local rings. It turns out that it is rational
Isomorphism classes of certain Artinian Gorenstein algebras
Juan Elias, Giuseppe Valla
In this paper we classify, up to analytic isomorphism, the family of almost stretched Artinian complete intersection A=R/I with a given Hilbert function, in the case R is a power s…
Cohomological properties of non-standard multigraded modules
Gemma Colomé-Nin, Juan Elias
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 generalize…
Upper bounds of Hilbert coefficients and Hilbert functions
Juan Elias
Let be a -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 -pr…
Structure theorems for certain Gorenstein ideals
Juan Elias, Giuseppe Valla
The main achievement of this paper is to provide a structure theorem for Artinian, Gorenstein local rings with the property that the square of the maximal ideal is generated by two…
Bigraded structures and the depth of blow-up algebras
Juan Elias, Gemma Colomé-Nin
Let be a Cohen-Macaulay local ring, and let be an ideal with minimal reduction . In this paper we attach to the pair , a non-standard bigraded module $Σ^…