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

2020/01/09 by Frank Loray, Frédéric Touzet, Loray, Frank +3
Mathematics · #32G13 (Primary) 34M40 #39XX (Secondary) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2001.03033

openalex publication_date 2020/01/09 · openalex created_date 2022/07/18 · openalex updated_date 2026/07/28

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.

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