Antonio Macchia

collaborators

3 papers

math.AC2017

On determinantal ideals and algebraic dependence

Margherita Barile, Antonio Macchia

Let $X$ be a matrix with entries in a polynomial ring over an algebraically closed field $K$ . We prove that, if the entries of $X$ outside some $(t \times t)$ -submatrix are algebra…

math.AC2017

Binomial edge ideals of bipartite graphs

Davide Bolognini, Antonio Macchia, Francesco Strazzanti

We classify the bipartite graphs $G$ whose binomial edge ideal $J_{G}$ is Cohen-Macaulay. The connected components of such graphs can be obtained by gluing a finite number of basic b…

math.AC2016

Regularity of the vanishing ideal over a parallel composition of paths

Antonio Macchia, Jorge Neves, Maria Vaz Pinto +1

Let G be a graph obtained by taking r>=2 paths and identifying all first vertices and identifying all the last vertices. We compute the Castelnuovo--Mumford regularity of the quoti…