Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917055670779904 |
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| author | Firester, Benjy J. |
| author_facet | Firester, Benjy J. |
| contents | We construct complete Calabi-Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $V_0$ that is a Calabi-Yau cone, extending the work of Székelyhidi (2019). The constructed Calabi-Yau manifold has tangent cone at infinity given by $\mathbb{C} \times V_0$. This construction produces Calabi-Yau metrics with fibers having varying complex structures and possibly isolated singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_04279 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections Firester, Benjy J. Differential Geometry We construct complete Calabi-Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $V_0$ that is a Calabi-Yau cone, extending the work of Székelyhidi (2019). The constructed Calabi-Yau manifold has tangent cone at infinity given by $\mathbb{C} \times V_0$. This construction produces Calabi-Yau metrics with fibers having varying complex structures and possibly isolated singularities. |
| title | Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2208.04279 |