Calabi-Yau complete intersections in fake weighted projective spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915796969586688 |
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| author | Ghirlanda, Marco |
| author_facet | Ghirlanda, Marco |
| contents | We present a classification algorithm for Calabi-Yau complete intersections arising from nef-partitions in fake weighted projective spaces, allowing us to determine all such complete intersections up to dimension five. Furthermore, we compute the Hodge pairs of the $3$-dimensional families obtained, and find twenty new Hodge pairs not realized by any toric Calabi-Yau hypersurface. Finally, we provide an explicit characterization for the families of maximal codimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13057 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau complete intersections in fake weighted projective spaces Ghirlanda, Marco Algebraic Geometry High Energy Physics - Theory 14J32, 14Q15, 14M25 We present a classification algorithm for Calabi-Yau complete intersections arising from nef-partitions in fake weighted projective spaces, allowing us to determine all such complete intersections up to dimension five. Furthermore, we compute the Hodge pairs of the $3$-dimensional families obtained, and find twenty new Hodge pairs not realized by any toric Calabi-Yau hypersurface. Finally, we provide an explicit characterization for the families of maximal codimension. |
| title | Calabi-Yau complete intersections in fake weighted projective spaces |
| topic | Algebraic Geometry High Energy Physics - Theory 14J32, 14Q15, 14M25 |
| url | https://arxiv.org/abs/2602.13057 |