Foliations on Projective Complete Intersection K3 Surfaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918202468990976 |
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| author | Olivares, Jorge Posada-Buriticá, Daniel |
| author_facet | Olivares, Jorge Posada-Buriticá, Daniel |
| contents | We study foliations $\mathscr{F}$ on projective complete intersection K3 surfaces $X \hookrightarrow \mathbb{P}^n$, where $\mathscr{F}$ has isolated singularities and it is the restriction of a foliation of degree $d$ on $\mathbb{P}^n$ that leaves $X$ invariant. We compute the values of the degrees $d$ for which $\mathscr{F}$ is uniquely determined by its singular scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11942 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Foliations on Projective Complete Intersection K3 Surfaces Olivares, Jorge Posada-Buriticá, Daniel Algebraic Geometry 32S65 (Primary), 32L10 (Secondary) We study foliations $\mathscr{F}$ on projective complete intersection K3 surfaces $X \hookrightarrow \mathbb{P}^n$, where $\mathscr{F}$ has isolated singularities and it is the restriction of a foliation of degree $d$ on $\mathbb{P}^n$ that leaves $X$ invariant. We compute the values of the degrees $d$ for which $\mathscr{F}$ is uniquely determined by its singular scheme. |
| title | Foliations on Projective Complete Intersection K3 Surfaces |
| topic | Algebraic Geometry 32S65 (Primary), 32L10 (Secondary) |
| url | https://arxiv.org/abs/2511.11942 |