The degeneration of Calabi-Yau 3-folds via 3-forms and the SYZ conjecture
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912276811874304 |
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| author | Fei, Teng |
| author_facet | Fei, Teng |
| contents | In this paper, we investigate the geometries associated with 3-forms of various orbital types on a symplectic 6-manifold. We demonstrate that certain unstable 3-forms, which naturally emerge from specific degenerations of Calabi-Yau structures, exhibit remarkably rich geometric properties. This, in turn, offers a novel perspective on the SYZ conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The degeneration of Calabi-Yau 3-folds via 3-forms and the SYZ conjecture Fei, Teng Differential Geometry High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry In this paper, we investigate the geometries associated with 3-forms of various orbital types on a symplectic 6-manifold. We demonstrate that certain unstable 3-forms, which naturally emerge from specific degenerations of Calabi-Yau structures, exhibit remarkably rich geometric properties. This, in turn, offers a novel perspective on the SYZ conjecture. |
| title | The degeneration of Calabi-Yau 3-folds via 3-forms and the SYZ conjecture |
| topic | Differential Geometry High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2503.11992 |