19 citations · 25 across the 4 of their papers we have counts for
4 papers
Sumsets and Veronese varieties
Liena Colarte-Gómez, Joan Elias, Rosa M. Miró-Roig
In this paper, to any subset we explicitly associate a unique monomial projection of a Veronese variety, whose Hilbert…
Sumsets and monomial projective curves
Joan Elias
The aim of this note is to exploit a new relationship between additive combinatorics and the geometry of monomial projective curves. We associate to a finite set of non-negative in…
The structure of the inverse system of Gorenstein k-algebras
Joan Elias, Maria Evelina Rossi
Macaulay's Inverse System gives an effective method to construct Artinian Gorenstein k-algebras. To date a general structure for Gorenstein k-algebras of any dimension (and codimen…
Isomorphism classes of short Gorenstein local rings via Macaulay's inverse system
Joan Elias, Maria Evelina Rossi
In this paper we study the isomorphism classes of Artinian Gorenstein local rings with socle degree three by means of Macaulay's inverse system. We prove that their classification…