3 papers
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.AG2025
The SagbiHomotopy.jl package for solving polynomial systems
Barbara Betti, Viktoriia Borovik
We present the Julia package SagbiHomotopy.jl for solving systems of polynomial equations using numerical homotopy continuation. The package introduces an optimal choice of a start…
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…