Proudfoot-Speyer degenerations of scattering equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915312190881792 |
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| author | Betti, Barbara Borovik, Viktoriia Telen, Simon |
| author_facet | Betti, Barbara Borovik, Viktoriia Telen, Simon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03614 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proudfoot-Speyer degenerations of scattering equations Betti, Barbara Borovik, Viktoriia Telen, Simon Algebraic Geometry High Energy Physics - Theory Combinatorics 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. |
| title | Proudfoot-Speyer degenerations of scattering equations |
| topic | Algebraic Geometry High Energy Physics - Theory Combinatorics |
| url | https://arxiv.org/abs/2410.03614 |