On holomorphic homogeneity of real hypersurfaces of general position in ℂ 3

A. V. Atanov; A. V. Loboda; V. I. Sukovykh

doi:10.1134/S0081543817060025

On holomorphic homogeneity of real hypersurfaces of general position in ℂ³

Авторлар: Atanov A.V.¹, Loboda A.V.², Sukovykh V.I.¹
Мекемелер:
1. Voronezh State University
2. Voronezh State Technical University
Шығарылым: Том 298, № 1 (2017)
Беттер: 13-34
Бөлім: Article
URL: https://journals.rcsi.science/0081-5438/article/view/174949
DOI: https://doi.org/10.1134/S0081543817060025
ID: 174949

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Аннотация

Holomorphically homogeneous strictly pseudoconvex real hypersurfaces of threedimensional complex spaces are studied within the coefficient approach. It is shown that the family of surfaces for which a fourth-degree polynomial in the Moser normal equation has a general form is described by at most 13 real parameters. Examples related to the normal equations of tubes over affine homogeneous bases are given which confirm the results of accompanying computer calculations.