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On holomorphic homogeneity of real hypersurfaces of general position in ℂ3

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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.

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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Voronezh State UniversityVoronezhRussia
  2. 2.Voronezh State Technical UniversityVoronezhRussia

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