2 citations · 3 across the 8 of their papers we have counts for
11 papers
Graded Betti numbers of graded Möbius algebras of uniform matroids
Louiza Fouli, Sean Grate, Selvi Kara +5
Graded Möbius algebras were a key tool in the proof of the Dowling-Wilson Top Heavy Conjecture. They are commutative algebras whose Hilbert functions recover the Whitney numbers of…
Homological properties of rings defined by general quadrics in variables
Rachel Diethorn, Sema Güntürkün, Alexis Hardesty +4
We study the almost complete intersection ring defined by general quadrics in a polynomial ring in variables over a field and a corresponding linked Gorenste…
Rational Normal Curves in Weighted Projective Space
Caitlin M. Davis, Aleksandra Sobieska
This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstand…
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…
CellularResolutions M2 Package
Aleksandra Sobieska, Jay Yang
Cellular resolutions are a technique for constructing resolutions of monomial ideals by giving a cell complex labeled by monomials, or more generally, by monomial modules. This \ve…
A Taylor Resolution Over Complete Intersections
Aleksandra Sobieska
The Taylor resolution is a fundamental object in the study of free resolutions over the polynomial ring, due to its explicit formula, cellular/combinatorial structure, and applicab…