3 papers
math.AC2026
Join-meet binomial algebras of distributive lattices
Barbara Betti, Takayuki Hibi
We investigate the defining ideal of the algebra over a field generated by the join-meet binomials coming from a finite distributive lattice. In the frame of algebras with straight…
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.AG2024
Proudfoot-Speyer degenerations of scattering equations
Barbara Betti, Viktoriia Borovik, Simon Telen
We study scattering equations of hyperplane arrangements from the perspective of combinatorial commutative algebra and numerical algebraic geometry. We formulate the problem as lin…