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arXiv · 2410.03614

Proudfoot-Speyer degenerations of scattering equations

Barbara Betti·Viktoriia Borovik·Simon Telen
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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.

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Barbara Betti, Viktoriia Borovik, Simon Telen. 2025-05-29. Proudfoot-Speyer degenerations of scattering equations. https://doi.org/10.4418/2025.80.1.5

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