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Rees algebras of ideals of star configurations
Alessandra Costantini, Ben Drabkin, Lorenzo Guerrieri
In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient condition…
On the integral domains characterized by a Bezout Property on intersections of principal ideals
Lorenzo Guerrieri, K. Alan Loper
In this article we study two classes of integral domains. The first is characterized by having a finite intersection of principal ideals being finitely generated only when it is pr…
On quasi-equigenerated and Freiman cover ideals of graphs
Benjamin Drabkin, Lorenzo Guerrieri
A quasi-equigenerated monomial ideal in the polynomial ring is a Freiman ideal if where is the analytic spr…
The Apéry Set of a Good Semigroup
Marco D'Anna, Lorenzo Guerrieri, Vincenzo Micale
We study the Apéry set of good subsemigoups of , a class of semigroups containing the value semigroups of curve singularities with two branches. Even if this set in in…
Directed unions of local monoidal transforms and GCD domains
Lorenzo Guerrieri
Let be a regular local ring of dimension . A local monoidal transform of is a ring of the form w…
Asymptotic invariants of ideals with Noetherian symbolic Rees algebra and applications to cover ideals
Ben Drabkin, Lorenzo Guerrieri
Let be an ideal whose symbolic Rees algebra is Noetherian. For , the -th symbolic defect, sdefect, of is defined to be the minimal number of generators…