6 citations · 13 across the 7 of their papers we have counts for
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math.AC2015
The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles
Margherita Barile, Antonio Macchia
We prove that, for the edge ideal of a graph whose cycles are pairwise vertex-disjoint, the arithmetical rank is bounded above by the sum of the number of cycles and the maximum he…
math.CO2015
The poset of proper divisibility
Davide Bolognini, Antonio Macchia, Emanuele Ventura +1
We study the partially ordered set of all multidegrees of monomials which properly divide $x_1^{a_1}\cdots x_n^{a…
math.AC2015
Cohomological dimension and arithmetical rank of some determinantal ideals
Davide Bolognini, Alessio Caminata, Antonio Macchia +1
Let be a non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and the arithme…