7 citations · 22 across the 32 of their papers we have counts for
38 papers
Splittings of Ideals of Points in
Elena Guardo, Graham Keiper, Adam Van Tuyl
Let be the bihomogeneous ideal of a finite set of points . The purpose of this note is to consider ``splitting…
The -vectors of toric ideals of odd cycle compositions revisited
Kieran Bhaskara, Adam Van Tuyl, Sasha Zotine
Let be a graph consisting of odd cycles that all share a common vertex. Bhaskara, Higashitani, and Shibu Deepthi recently computed the -polynomial for the quotient ring…
A classification of van der Waerden complexes with linear resolution
Takayuki Hibi, Adam Van Tuyl
In 2017, Ehrenborg, Govindaiah, Park, and Readdy defined the van der Waerden complex to be the simplicial complex whose facets correspond to all the arithmetic seq…
Simplicial complexes with many facets are vertex decomposable
Anton Dochtermann, Ritika Nair, Jay Schweig +2
Suppose is a pure simplicial complex on vertices having dimension and let be its codimension in the simplex. Terai and Yoshida proved that if the number of…
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…
On the Waldschmidt constant of square-free principal Borel ideals
Eduardo Camps Moreno, Craig Kohne, Eliseo Sarmiento +1
Fix a square-free monomial . The square-free principal Borel ideal generated by , denoted , is the ideal generated by all…