4 papers
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…
Graphical Scattering Equations
Barbara Betti, Viktoriia Borovik, Bella Finkel +2
The CHY scattering equations on the moduli space play a prominent role at the interface of particle physics and algebraic statistics. We study the scattering corresponden…
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…
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…