Logarithmic Discriminants of Hyperplane Arrangements
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909639872872448 |
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| author | Kayser, Leonie Kretschmer, Andreas Telen, Simon |
| author_facet | Kayser, Leonie Kretschmer, Andreas Telen, Simon |
| contents | A recurring task in particle physics and statistics is to compute the complex critical points of a product of powers of affine-linear functions. The logarithmic discriminant characterizes exponents for which such a function has a degenerate critical point in the corresponding hyperplane arrangement complement. We study properties of this discriminant, exploiting its connection with the Hurwitz form of a reciprocal linear space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11675 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Logarithmic Discriminants of Hyperplane Arrangements Kayser, Leonie Kretschmer, Andreas Telen, Simon Algebraic Geometry High Energy Physics - Theory Combinatorics 14N20, 14E22, 14N05 A recurring task in particle physics and statistics is to compute the complex critical points of a product of powers of affine-linear functions. The logarithmic discriminant characterizes exponents for which such a function has a degenerate critical point in the corresponding hyperplane arrangement complement. We study properties of this discriminant, exploiting its connection with the Hurwitz form of a reciprocal linear space. |
| title | Logarithmic Discriminants of Hyperplane Arrangements |
| topic | Algebraic Geometry High Energy Physics - Theory Combinatorics 14N20, 14E22, 14N05 |
| url | https://arxiv.org/abs/2410.11675 |