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math.AC2026
Hankel Determinantal Ring have -regular Singularities
Jyoti Singh, Nikhil P. Zade
In this article, we study Hankel determinantal rings, a special class of determinantal rings defined by minors of Hankel matrices of indeterminates. We discuss the question posed i…
math.AC2026
Diagonal F-thresholds for determinants and Pfaffians
Barbara Betti, Claudiu Raicu, Francesco Romeo +1
We compute the diagonal F-thresholds of determinantal hypersurfaces arising from a generic matrix and from a generic symmetric matrix, as well as of the Pfaffian hypersurface arisi…
math.AC2023
F-threshold of determinantal rings
Barbara Betti, Alessio Moscariello, Francesco Romeo +1
In this paper, by using a combinatorial approach, we establish a new upper bound for the F-threshold $c^\mm(\mm)$ of determinantal rings generated by maximal minors. We prove that…