3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Cohen-Macaulay Property of pinched Veronese Rings
Ornella Greco, Ivan Martino
In this work, we study the Betti numbers of pinched Veronese rings, by means of the reduced homology of squarefree divisor complexes. We characterize when these rings are Cohen-Mac…
Green's Hyperplane Restriction Theorem: an extension to modules
Ornella Greco
In this paper, we prove a generalization of Green's Hyperplane Restriction Theorem to the case of modules over the polynomial ring, providing in particular an upper bound for the H…
Syzygies of the Veronese modules
Ornella Greco, Ivan Martino
We study the minimal free resolution of the Veronese modules of the polynomial ring in n variables, by giving a formula for the Betti numbers in terms of the reduced homology of so…
Equivalence of three different definitions of irreducible element
Ornella Greco
In this work, we try to draw a comparison among the three different concepts of irreducibility, given by Fletcher, Galovich, Bouvier; these three concepts are equivalent in a parti…