Calabi-Yau complete intersections associated to good pairs of generalized nef partitions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908836707696640 |
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| author | Artebani, Michela Comparin, Paola Guilbot, Robin |
| author_facet | Artebani, Michela Comparin, Paola Guilbot, Robin |
| contents | We introduce the notion of good pair of generalized nef partitions to describe Calabi-Yau complete intersections in Q-Fano toric varieties whose equations do not necessarily have maximal Newton polytopes. Moreover, we define a natural duality between them which generalizes Batyrev-Borisov mirror duality and allows to define a generalization of Berglund-Hübsch-Krawitz duality to quasismooth complete intersections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau complete intersections associated to good pairs of generalized nef partitions Artebani, Michela Comparin, Paola Guilbot, Robin Algebraic Geometry 14M25, 14J32, 14J17, 14M10, 14J28 We introduce the notion of good pair of generalized nef partitions to describe Calabi-Yau complete intersections in Q-Fano toric varieties whose equations do not necessarily have maximal Newton polytopes. Moreover, we define a natural duality between them which generalizes Batyrev-Borisov mirror duality and allows to define a generalization of Berglund-Hübsch-Krawitz duality to quasismooth complete intersections. |
| title | Calabi-Yau complete intersections associated to good pairs of generalized nef partitions |
| topic | Algebraic Geometry 14M25, 14J32, 14J17, 14M10, 14J28 |
| url | https://arxiv.org/abs/2602.14851 |