Foliations on projective complete intersection K3 surfaces
Abstract
Abstract We study foliations ℱ {\mathscr{F}} on projective complete intersection K3 surfaces X ↪ ℙ n {X\hookrightarrow\mathbb{P}^{n}} , where ℱ {\mathscr{F}} has isolated singularities and it is the restriction of a foliation of degree d on ℙ n {\mathbb{P}^{n}} that leaves X invariant. We compute the values of the degrees d for which ℱ {\mathscr{F}} is uniquely determined by its singular scheme.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Publication details
- Journal / source
- Forum Mathematicum
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 29 July 2026
- Language
- EN