7 citations · 13 across the 18 of their papers we have counts for
26 papers
Asymptotic Resurgence of Facet ideals of Graphic Matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar
Our main results are an upper bound on the asymptotic resurgence of the facet ideal of a graphic matroid in terms of the number of vertices and a lower bound in terms of the circum…
Asymptotic Resurgence of Facet and Stanley-Reisner ideals of Matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar
Matroid configurations -- introduced by Geramita, Harbourne, Migliore, and Nagel -- are projective varieties which generalize so-called \textit{star configurations} and whose defin…
Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
Carles Checa, Michael DiPasquale, Pablo Mazón +5
We study the space of splines where denotes a smoothness distribution and is the fan of a central hyperplan…
Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar +1
It is well-known that the first generalized Hamming weight of a linear code, more commonly called \textit{the minimum distance} of the linear code, corresponds to the initial degre…
Planar splines on a triangulation with a single totally interior edge
Michael DiPasquale, Beihui Yuan
We derive an explicit formula, valid for all integers , for the dimension of the vector space of piecewise polynomial functions continuously differentiable to…
Geometric aspects of the Jacobian of a hyperplane arrangement
Michael DiPasquale, Jessica Sidman, Will Traves
An embedding of the complete bipartite graph in gives rise to both a line arrangement and a bar-and-joint framework. For a generic placement of the six ver…