58 citations · 166 across the 43 of their papers we have counts for
6 papers · 1 filter
Axial constants and sectional regularity of homogeneous ideals
Michael DeBellevue, Audric Lebovitz, Yik Li +7
A notion of sectional regularity for a homogeneous ideal , which measures the regularity of its generic sections with respect to linear spaces of various dimensions, is introduc…
Cohomological Blow Ups of Graded Artinian Gorenstein Algebras Along Surjective Maps
Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel +2
We introduce the cohomological blow up of a graded Artinian Gorenstein (AG) algebra along a surjective map, which we term BUG (Blow Up Gorenstein) for short. This is intended to tr…
Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals
Gonzalo Grisalde, Alexandra Seceleanu, Rafael H. Villarreal
The aims of this work are to study Rees algebras of filtrations of monomial ideals associated to covering polyhedra of rational matrices with non-negative entries and non-zero colu…
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…