Geometry of Adjoint Hypersurfaces for Polytopes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917085716676608 |
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| author | Brüser, Clemens Weigert, Julian |
| author_facet | Brüser, Clemens Weigert, Julian |
| contents | In this article we prove that the adjoint polynomial of arbitrary convex polytopes is up to scaling uniquely determined by vanishing to the right order on the polytopes residual arrangement. This answers a problem posed by Kohn and Ranestad and generalizes their main theorem to non-simple polytopes. We furthermore prove that the adjoint polynomial is already characterized by vanishing to the right order on a zero-dimensional subset of the residual arrangement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometry of Adjoint Hypersurfaces for Polytopes Brüser, Clemens Weigert, Julian Combinatorics 14N20, 52B11, 52B40 14Q30, 14J70 In this article we prove that the adjoint polynomial of arbitrary convex polytopes is up to scaling uniquely determined by vanishing to the right order on the polytopes residual arrangement. This answers a problem posed by Kohn and Ranestad and generalizes their main theorem to non-simple polytopes. We furthermore prove that the adjoint polynomial is already characterized by vanishing to the right order on a zero-dimensional subset of the residual arrangement. |
| title | Geometry of Adjoint Hypersurfaces for Polytopes |
| topic | Combinatorics 14N20, 52B11, 52B40 14Q30, 14J70 |
| url | https://arxiv.org/abs/2511.13537 |