Deformations of Compact Calabi--Yau Conifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911060992196608 |
|---|---|
| author | Imagi, Yohsuke |
| author_facet | Imagi, Yohsuke |
| contents | Let $X$ be a compact normal Kähler space whose canonical sheaf is a rank-one free $\mathcal O_X$ module and whose singularities are isolated, rational and quasi-homogeneous. We prove then that under a topological hypothesis the obstruction to deforming $X$ concentrates upon its singularities, generalizing partially the results of Namikawa--Gross. We prove also that under a certain hypothesis the locally trivial deformations of $X$ are unobstructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03243 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deformations of Compact Calabi--Yau Conifolds Imagi, Yohsuke Algebraic Geometry Complex Variables Differential Geometry Let $X$ be a compact normal Kähler space whose canonical sheaf is a rank-one free $\mathcal O_X$ module and whose singularities are isolated, rational and quasi-homogeneous. We prove then that under a topological hypothesis the obstruction to deforming $X$ concentrates upon its singularities, generalizing partially the results of Namikawa--Gross. We prove also that under a certain hypothesis the locally trivial deformations of $X$ are unobstructed. |
| title | Deformations of Compact Calabi--Yau Conifolds |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2504.03243 |