Two dimensional neighborhoods of elliptic curves: formal classification and foliations

Abstract : 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.
Type de document :
Pré-publication, Document de travail
version 2: one reference added. 2018
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https://hal.archives-ouvertes.fr/hal-01509317
Contributeur : Frank Loray <>
Soumis le : mercredi 29 août 2018 - 09:37:20
Dernière modification le : samedi 1 septembre 2018 - 01:13:53

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bifoliated.pdf
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  • HAL Id : hal-01509317, version 3
  • ARXIV : 1704.05214

Citation

Frank Loray, Olivier Thom, Frédéric Touzet. Two dimensional neighborhoods of elliptic curves: formal classification and foliations. version 2: one reference added. 2018. 〈hal-01509317v3〉

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