2 citations · 3 across the 6 of their papers we have counts for
7 papers
Infinite free resolutions over numerical semigroup algebras via specialization
Tara Gomes, Christopher O'Neill, Aleksandra Sobieska +1
Each numerical semigroup with smallest positive element corresponds to an integer point in a polyhedral cone , known as the Kunz cone. The faces of form a strati…
The multigraded BGG correspondence in Macaulay2
Maya Banks, Michael K. Brown, Tara Gomes +3
We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-…
Minimal free resolutions of numerical semigroup algebras via Apéry specialization
Benjamin Braun, Tara Gomes, Ezra Miller +2
Numerical semigroups with multiplicity are parameterized by integer points in a polyhedral cone , according to Kunz. For the toric ideal of any such semigroup, the main re…
On faces of the Kunz cone and the numerical semigroups within them
Levi Borevitz, Tara Gomes, Jiajie Ma +6
A numerical semigroup is a cofinite subset of the non-negative integers that is closed under addition and contains 0. Each numerical semigroup with fixed smallest positive elem…
Numerical semigroups, polyhedra, and posets III: minimal presentations and face dimension
Tara Gomes, Christopher O'Neill, Eduardo Torres Davila
This paper is the third in a series of manuscripts that examine the combinatorics of the Kunz polyhedron , whose positive integer points are in bijection with numerical semigr…
Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups
Jackson Autry, Abigail Ezell, Tara Gomes +4
Several recent papers have examined a rational polyhedron whose integer points are in bijection with the numerical semigroups (cofinite, additively closed subsets of the non-…
Elasticity in Apery sets
Jackson Autry, Tara Gomes, Christopher O'Neill +1
A numerical semigroup is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity is its smallest nonzero element. T…