Two dimensional neighborhoods of elliptic curves: formal classification and foliations - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2017

Two dimensional neighborhoods of elliptic curves: formal classification and foliations

Résumé

We classify two dimensional neighborhoods of an elliptic curve C with torsion normal bundle, up to formal equivalence. The proof makes use of the existence of a pair (indeed a pencil) of formal foliations having C as a common leaf, and the fact that neighborhoods are completely determined by the holonomy of such a pair. We also discuss analytic equivalence and show, for each formal model, that the corresponding moduli space is infinite dimensional.
Fichier principal
Vignette du fichier
Bifoliated.pdf (377.43 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01509317 , version 1 (16-04-2017)
hal-01509317 , version 2 (09-05-2017)
hal-01509317 , version 3 (29-08-2018)

Identifiants

Citer

Frank Loray, Olivier Thom, Frédéric Touzet. Two dimensional neighborhoods of elliptic curves: formal classification and foliations. 2017. ⟨hal-01509317v2⟩
742 Consultations
244 Téléchargements

Altmetric

Partager

More