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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…
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…