16 citations · 42 across the 7 of their papers we have counts for
8 papers
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…
Hadamard Products and Binomial Ideals
Büşra Atar, Kieran Bhaskara, Adrian Cook +6
We study the Hadamard product of two varieties and , with particular attention to the situation when one or both of and is a binomial variety. The main result of thi…
Homological and combinatorial aspects of virtually Cohen--Macaulay sheaves
Christine Berkesch, Patricia Klein, Michael C. Loper +1
When studying a graded module over the Cox ring of a smooth projective toric variety , there are two standard types of resolutions commonly used to glean information: free r…
Asymptotic Degree of Random Monomial Ideals
Lily Silverstein, Dane Wilburne, Jay Yang
One of the fundamental invariants connecting algebra and geometry is the degree of an ideal. In this paper we derive the probabilistic behavior of degree with respect to the versat…
Characteristic dependence of syzygies of random monomial ideals
Caitlyn Booms, Daniel Erman, Jay Yang
When do syzygies depend on the characteristic of the field? Even for well-studied families of examples, very little is known. For a family of random monomial ideals, namely the Sta…
Virtual Resolutions of Monomial Ideals on Toric Varieties
Jay Yang
We use cellular resolutions of monomial ideals to prove an analog of Hilbert's syzygy theorem for virtual resolutions of monomial ideals on smooth toric varieties.