7 citations · 20 across the 16 of their papers we have counts for
16 papers
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…
Computing minimal Gorenstein covers
Juan Elias, Roser Homs, Bernard Mourrain
We analyze and present an effective solution to the minimal Gorenstein cover problem: given a local Artin k-algebra , compute an Artin Gorenstein -alg…
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…