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math.AC2014★ 1 cited
On the dual graph of Cohen-Macaulay algebras
Bruno Benedetti, Matteo Varbaro
Given a projective algebraic set X, its dual graph G(X) is the graph whose vertices are the irreducible components of X and whose edges connect components that intersect in codimen…
math.AC2009★ 7 cited
Dimension, depth and zero-divisors of the algebra of basic -covers of a graph
Bruno Benedetti, Alexandru Constantinescu, Matteo Varbaro
We study the basic -covers of a bipartite graph ; the algebra $\AG$ they span, first studied by Herzog, is the fiber cone of the Alexander dual of the edge ideal. We characte…
math.AC2009★ 1 cited
Unmixed Graphs that are Domains
Bruno Benedetti, Matteo Varbaro
Given an arbitrary graph G, we study its basic covers algebra, which is the symbolic fiber cone of the Alexander dual of the edge ideal of G. Extending results of Villarreal and Be…