Birational geometry of foliations associated to simple derivations and generalizations - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Birational geometry of foliations associated to simple derivations and generalizations

Résumé

We propose a study of the foliations of the projective plane induced by simple derivations of the polynomial ring in two indeterminates over the complex field. These correspond to foliations which have no invariant algebraic curve nor singularities in the complement of a line. We establish the position of these foliations in the birational classification of foliations and prove the finiteness of their birational symmetries. Most of the results apply to wider classes of foliations.
Fichier principal
Vignette du fichier
1701.00790.pdf (369.56 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01428028 , version 1 (06-01-2017)

Identifiants

Citer

Gaël Cousin, Luis Gustavo Mendes, Ivan Pan. Birational geometry of foliations associated to simple derivations and generalizations. 2017. ⟨hal-01428028⟩
108 Consultations
186 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More