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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The two first authors are supported by grant ANR-16-CE40-0008 “Foliage”, and thank CAPES-COFECUB project MA 932/19. The third author is supported by grant RFBR-17-01-00739-a. This work started when the third author was invited in Rennes, and we would like to thank Université de Rennes 1, IRMAR, CNRS and Centre Henri Lebesgue, program ANR-11-LABX-0020-0 for constant support. We thank T. Ohsawa to let us know the reference [7].
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Loray, F., Touzet, F. & Voronin, S.M. Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case. Publ.math.IHES 136, 149–224 (2022). https://doi.org/10.1007/s10240-022-00133-z
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DOI: https://doi.org/10.1007/s10240-022-00133-z