Wondertopes
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866918157691650048 |
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| author | Brauner, Sarah Eur, Christopher Pratt, Elizabeth Vlad, Raluca |
| author_facet | Brauner, Sarah Eur, Christopher Pratt, Elizabeth Vlad, Raluca |
| contents | Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of computing scattering amplitudes in theoretical physics. We show that a positive geometry from a polytope admits a log resolution of singularities to another positive geometry. Our result states that the regions in a wonderful compactification of a hyperplane arrangement complement, which we call wondertopes, are positive geometries. A familiar wondertope is the curvy associahedron, which tiles the moduli space of pointed stable rational curves. Thus our work generalizes the known positive geometry structure on this moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04610 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wondertopes Brauner, Sarah Eur, Christopher Pratt, Elizabeth Vlad, Raluca Algebraic Geometry Combinatorics Positive geometries were introduced by Arkani-Hamed--Bai--Lam as a method of computing scattering amplitudes in theoretical physics. We show that a positive geometry from a polytope admits a log resolution of singularities to another positive geometry. Our result states that the regions in a wonderful compactification of a hyperplane arrangement complement, which we call wondertopes, are positive geometries. A familiar wondertope is the curvy associahedron, which tiles the moduli space of pointed stable rational curves. Thus our work generalizes the known positive geometry structure on this moduli space. |
| title | Wondertopes |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2403.04610 |