Proudfoot-Speyer degenerations of scattering equations
Algebraic Geometry
2025-05-30 v2 High Energy Physics - Theory
Combinatorics
Abstract
We study scattering equations of hyperplane arrangements from the perspective of combinatorial commutative algebra and numerical algebraic geometry. We formulate the problem as linear equations on a reciprocal linear space and develop a degeneration-based homotopy algorithm for solving them. We investigate the Hilbert regularity of the corresponding homogeneous ideal and apply our methods to CHY scattering equations.
Cite
@article{arxiv.2410.03614,
title = {Proudfoot-Speyer degenerations of scattering equations},
author = {Barbara Betti and Viktoriia Borovik and Simon Telen},
journal= {arXiv preprint arXiv:2410.03614},
year = {2025}
}