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arXiv · 2511.11942

Foliations on Projective Complete Intersection K3 Surfaces

Jorge Olivares·Daniel Posada-Buriticá
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Abstract

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.

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Jorge Olivares, Daniel Posada-Buriticá. 2025-11-14. Foliations on Projective Complete Intersection K3 Surfaces. https://doi.org/10.1515/forum-2025-0411

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