Calabi-Yau Foliations and Deformations
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929622710484992 |
|---|---|
| author | Danain-Bertoncini, Rémi |
| author_facet | Danain-Bertoncini, Rémi |
| contents | We propose in this article the study of the deformations of a Calabi-Yau type foliations $\mathcal{F}$. For three different types of deformations (unfoldings, holomorphic, transversally holomorphic) there exist Kuranishi spaces $K^f,K^h,K^{tr}$ parametrizing the corresponding families of deformations. We show that $K^f$ is smooth, and that we can obtain $K^h$ as the product $K^f\times K^{tr}$. At last, we show that we can see the $f$-deformations of $\mathcal{F}$ as the $tr$-deformations of a supplementary foliation $\mathcal{G}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Calabi-Yau Foliations and Deformations Danain-Bertoncini, Rémi Algebraic Geometry Differential Geometry We propose in this article the study of the deformations of a Calabi-Yau type foliations $\mathcal{F}$. For three different types of deformations (unfoldings, holomorphic, transversally holomorphic) there exist Kuranishi spaces $K^f,K^h,K^{tr}$ parametrizing the corresponding families of deformations. We show that $K^f$ is smooth, and that we can obtain $K^h$ as the product $K^f\times K^{tr}$. At last, we show that we can see the $f$-deformations of $\mathcal{F}$ as the $tr$-deformations of a supplementary foliation $\mathcal{G}$. |
| title | Calabi-Yau Foliations and Deformations |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2412.07566 |