4 papers
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…