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Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case
- Source :
- Publications mathematiques de l' IHES, Publications mathematiques de l' IHES, In press, ⟨10.1007/s10240-022-00133-z⟩
- Publication Year :
- 2022
- Publisher :
- Springer Science and Business Media LLC, 2022.
-
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.<br />Comment: Working version 2 (new pictures, enhanced presentation of sectorial normalization, sketch of the proof of classification in the general torsion case)
- Subjects :
- 32G13 (Primary) 34M40, 39XX (Secondary)
Mathematics - Classical Analysis and ODEs
Mathematics - Complex Variables
General Mathematics
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Complex Variables (math.CV)
Subjects
Details
- ISSN :
- 16181913 and 00738301
- Volume :
- 136
- Database :
- OpenAIRE
- Journal :
- Publications mathématiques de l'IHÉS
- Accession number :
- edsair.doi.dedup.....f5cc3fc691c54849da3e7a4a6840a51d
- Full Text :
- https://doi.org/10.1007/s10240-022-00133-z