13 citations · 39 across the 14 of their papers we have counts for
5 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…
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…
On the variety of linear recurrences and numerical semigroups
Ivan Martino, Luca Martino
In this work, we prove the existence of linear recurrences of order M with a non-trivial solution vanishing exactly on the set of gaps (or a subset) of a numerical semigroup S fini…
Regular sequences of power sums and complete symmetric polynomials
Neeraj Kumar, Ivan Martino
In this article, we carry out the investigation for regular sequences of symmetric polynomials in the polynomial ring in three and four variable. Any two power sum element in $\mat…
An Algebraic Proof for the Identities for Degree of Syzygies in Numerical Semigroup
Ivan Martino, Neeraj Kumar
In a recent paper by L. Fel two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also exte…