Email this article On holomorphic homogeneity of real hypersurfaces of general position in ℂ3
- Authors: Atanov A.V.1, Loboda A.V.2, Sukovykh V.I.1
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Affiliations:
- Voronezh State University
- Voronezh State Technical University
- Issue: Vol 298, No 1 (2017)
- Pages: 13-34
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174949
- DOI: https://doi.org/10.1134/S0081543817060025
- ID: 174949
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Abstract
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.
About the authors
A. V. Atanov
Voronezh State University
Author for correspondence.
Email: atanov.cs@gmail.com
Russian Federation, Universitetskaya pl. 1, Voronezh, 394018
A. V. Loboda
Voronezh State Technical University
Email: atanov.cs@gmail.com
Russian Federation, Moskovskii pr. 14, Voronezh, 394026
V. I. Sukovykh
Voronezh State University
Email: atanov.cs@gmail.com
Russian Federation, Universitetskaya pl. 1, Voronezh, 394018
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