Deformations of some local Calabi-Yau manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866918524056764416 |
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| author | Friedman, Robert Laza, Radu |
| author_facet | Friedman, Robert Laza, Radu |
| contents | We study deformations of certain crepant resolutions of isolated rational Gorenstein singularities. After a general discussion of the deformation theory, we specialize to dimension $3$ and consider examples which are good (log) resolutions as well as the case of small resolutions. We obtain some partial results on the classification of canonical threefold singularities that admit good crepant resolutions. Finally, we study a noncrepant example, the blowup of a small resolution whose exceptional set is a smooth curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11738 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Deformations of some local Calabi-Yau manifolds Friedman, Robert Laza, Radu Algebraic Geometry 14J32, 14B07, 32S30, 14E15, 32S45 We study deformations of certain crepant resolutions of isolated rational Gorenstein singularities. After a general discussion of the deformation theory, we specialize to dimension $3$ and consider examples which are good (log) resolutions as well as the case of small resolutions. We obtain some partial results on the classification of canonical threefold singularities that admit good crepant resolutions. Finally, we study a noncrepant example, the blowup of a small resolution whose exceptional set is a smooth curve. |
| title | Deformations of some local Calabi-Yau manifolds |
| topic | Algebraic Geometry 14J32, 14B07, 32S30, 14E15, 32S45 |
| url | https://arxiv.org/abs/2203.11738 |