27 citations · 133 across the 37 of their papers we have counts for
5 papers · 1 filter
Linear syzygies, flag complexes, and regularity
Alexandru Constantinescu, Thomas Kahle, Matteo Varbaro
We show that for every positive integer R there exist monomial ideals generated in degree two, with linear syzygies, and regularity of the quotient equal to R. Such examples can no…
Connectivity of pseudomanifold graphs from an algebraic point of view
Karim A. Adiprasito, Afshin Goodarzi, Matteo Varbaro
The connectivity of graphs of simplicial and polytopal complexes is a classical subject going back at least to Steinitz, and the topic has since been studied by many authors, inclu…
Test, multiplier and invariant ideals
Inês B. Henriques, M. Varbaro
This paper gives an explicit formula for the multiplier ideals, and consequently for the log canonical thresholds, of any GL(V)xGL(W)-invariant ideal in the symmetric algebra S of…
When does depth stabilize early on?
Le Dinh Nam, Matteo Varbaro
In this paper we study graded ideals I in a polynomial ring S such that the numerical function f(k)=depth(S/I^k) is constant. We show that, if (i) the Rees algebra of I is Cohen-Ma…
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…