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91 papers · 1 filter
Koszul Binomial Edge Ideals
Adam LaClair, Matthew Mastroeni, Jason McCullough +1
As the binomial edge ideal of a graph is always generated by homogeneous quadratic polynomials corresponding to the edges of the graph, the question of when a binomial edge ideal d…
F-Purity of Binomial Edge Ideals
Adam LaClair, Jason McCullough
In 2012, K. Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F-pure. He proved that weakly closed binomial edge ideals are F-pure…
Limit -signature functions of two-variable binomial hypersurfaces
Anna Brosowsky, Izzet Coskun, Suchitra Pande +1
The -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong -regularity, an important class of singularitie…
Maximal Cohen-Macaulay DG-complexes
Zachary Nason
Let be a commutative noetherian local differential graded (DG) ring. In this paper we propose a definition of a maximal Cohen-Macaulay DG-complex over that naturally genera…
Rings for which general linear forms are exact zero divisors
Ayden Eddings, Adela Vraciu
We investigate the standard graded -algebras over a field of characteristic zero for which general linear forms are exact zero divisors. We formulate a conjecture regarding…
Polarization and Gorenstein liaison
Sara Faridi, Patricia Klein, Jenna Rajchgot +1
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen--Macaulay subscheme of can be G-linked to a complete intersect…