Classifying the Fine Polyhedral Spectrum
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908750205419520 |
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| author | Mora, Sofía Garzón Haase, Christian |
| author_facet | Mora, Sofía Garzón Haase, Christian |
| contents | In this paper, we examine an analogue of the recently solved spectrum conjecture by Fujita in the setting of Fine polyhedral adjunction theory. We present computational results for lower-dimensional polytopes, which lead to a complete classification of the highest numbers of this Fine spectrum in any dimension. Moreover, we present a classification of the Fine spectrum in dimensions one, two and (almost) three, while providing a framework for general classification results in any dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03145 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classifying the Fine Polyhedral Spectrum Mora, Sofía Garzón Haase, Christian Combinatorics Algebraic Geometry 52B20 (Primary) 14M25, 14C20 (Secondary) In this paper, we examine an analogue of the recently solved spectrum conjecture by Fujita in the setting of Fine polyhedral adjunction theory. We present computational results for lower-dimensional polytopes, which lead to a complete classification of the highest numbers of this Fine spectrum in any dimension. Moreover, we present a classification of the Fine spectrum in dimensions one, two and (almost) three, while providing a framework for general classification results in any dimension. |
| title | Classifying the Fine Polyhedral Spectrum |
| topic | Combinatorics Algebraic Geometry 52B20 (Primary) 14M25, 14C20 (Secondary) |
| url | https://arxiv.org/abs/2601.03145 |