7 citations · 23 across the 8 of their papers we have counts for
9 papers
Newton Polytopes and Analytic Spread
Benjamin Drabkin, Benjamin Oltsik
Using the Newton polytope and polyhedron, we study analytic spread and ideal reductions of monomial ideals. We determine a bound for analytic spread based on halfspaces and hyperpl…
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…
Computing real powers of monomial ideals
Pratik Dongre, Benjamin Drabkin, Josiah Lim +5
This paper concerns the exponentiation of monomial ideals. While it is customary for the exponentiation operation on ideals to consider natural powers, we extend this notion to pow…
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…