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Hauptverfasser: Olivares, Jorge, Posada-Buriticá, Daniel
Format: Preprint
Veröffentlicht: 2025
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2511.11942
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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