Feuilleter
no. 4
Extensions and restrictions of holomorphic foliations
Mateus Gomes Figueira1
1 Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil.
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 4, pp. 981-995.

Nous prouvons un critère d’extension pour les feuilletages de codimension un sur les hypersurfaces projectives, basé sur le degré du feuilletage et sur le degré de l’hypersurface, et nous assurons, dans certains cas, un isomorphisme entre les espaces de feuilletages correspondants. Nous présentons également quelques exemples de feuilletages qui ne satisfont pas le critère d’extension et ne s’étendent pas.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1792
Mots-clés : Restrictions of Foliations, Extensions of foliations, Smooth projective hypersurfaces.

Mateus Gomes Figueira 1

1 Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, RJ, Brazil.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Mateus Gomes Figueira. Extensions and restrictions of holomorphic foliations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 4, pp. 981-995. doi : 10.5802/afst.1792. https://afst.centre-mersenne.org/articles/10.5802/afst.1792/

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