7 citations · 12 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
Convex bodies and asymptotic invariants for powers of monomial ideals
João Camarneiro, Benjamin Drabkin, Duarte Fragoso +5
Continuing a well established tradition of associating convex bodies to monomial ideals, we initiate a program to construct asymptotic Newton polyhedra from decompositions of monom…