Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case

Frank Loray; Frédéric Touzet; Sergei M. Voronin

doi:10.1007/s10240-022-00133-z

Article

Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case

Frank Loray ¹; Frédéric Touzet ¹; Sergei M. Voronin ¹

¹

Publications Mathématiques de l'IHÉS, Volume 136 (2022), pp. 149-224

Abstract

We investigate the analytic classification of two dimensional neighborhoods of an elliptic curve with torsion normal bundle. We provide the complete analytic classification for those neighborhoods in the simplest formal class and we indicate how to generalize this construction to general torsion case.

Received: 2020-09-24
Accepted: 2022-05-07
Online First: 2022-07-11
Published online: 2022-12-07

MR Zbl

DOI: 10.1007/s10240-022-00133-z

Author's affiliations:

Frank Loray ¹; Frédéric Touzet ¹; Sergei M. Voronin ¹

¹

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     title = {Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {149--224},
     year = {2022},
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Frank Loray; Frédéric Touzet; Sergei M. Voronin. Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case. Publications Mathématiques de l'IHÉS, Volume 136 (2022), pp. 149-224. doi: 10.1007/s10240-022-00133-z

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