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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.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…