6 papers · 1 filter
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…
Consequences of the packing problem
Hrishikesh Bodas, Benjamin Drabkin, Caleb Fong +6
We study several consequences of the packing problem, a conjecture from combinatorial optimization, using algebraic invariants of square-free monomial ideals. While the packing pro…
On resurgence via asymptotic resurgence
Michael DiPasquale, Ben Drabkin
The resurgence and asymptotic resurgence of an ideal in a polynomial ring are two statistics which measure the relationship between its regular and symbolic powers. We address two…
Singular loci of reflection arrangements and the containment problem
Ben Drabkin, Alexandra Seceleanu
This paper provides insights into the role of symmetry in studying polynomial functions vanishing to high order on an algebraic variety. The varieties we study are singular loci of…
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…
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…