The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929482617585664 |
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| author | Gleissner, Christian Kotonski, Julia |
| author_facet | Gleissner, Christian Kotonski, Julia |
| contents | We provide a fine classification of rigid three-dimensional torus quotients with isolated canonical singularities, up to biholomorphism and diffeomorphism. This complements the classification of Calabi-Yau 3-folds of type $\rm{III}_0$, which are those quotients with Gorenstein singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01050 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three Gleissner, Christian Kotonski, Julia Algebraic Geometry Complex Variables Group Theory 14J10, 14J30, 14L30, 32G05, 14M25, 20C15, 20H15 We provide a fine classification of rigid three-dimensional torus quotients with isolated canonical singularities, up to biholomorphism and diffeomorphism. This complements the classification of Calabi-Yau 3-folds of type $\rm{III}_0$, which are those quotients with Gorenstein singularities. |
| title | The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three |
| topic | Algebraic Geometry Complex Variables Group Theory 14J10, 14J30, 14L30, 32G05, 14M25, 20C15, 20H15 |
| url | https://arxiv.org/abs/2409.01050 |