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math.AC2026
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…
math.AC2026
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…
math.CO2026
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…