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math.AC2017
On determinantal ideals and algebraic dependence
Margherita Barile, Antonio Macchia
Let be a matrix with entries in a polynomial ring over an algebraically closed field . We prove that, if the entries of outside some -submatrix are algebra…
math.AC2017
Binomial edge ideals of bipartite graphs
Davide Bolognini, Antonio Macchia, Francesco Strazzanti
We classify the bipartite graphs whose binomial edge ideal is Cohen-Macaulay. The connected components of such graphs can be obtained by gluing a finite number of basic b…