Work

Extensions and restrictions of holomorphic foliations

Year: 2025

Type: article

Abstract: We prove an extension criterion for codimension one foliations on projective hypersurfaces based on the degree of the foliation and the degree of the hypersurface, and we ensure, in some instances, an isomorphism between the corresponding spaces of foliations. We also present some examples of foliations that do not satisfy the extension criterion and do not extend.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1792

Author: Mateus Gomes Figueira

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico

OpenAlex ID: W4407103200

FWCI:

Cites: 17

Cited by:

Related to: 10