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On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in ℂN+1

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Abstract

The author determines the real-analytic infinitesimal CR automorphisms of a class of non-homogeneous rigid hypersurfaces in ℂN+1 near the origin, and the connected component containing the identity transformation of all locally holomorphic automorphisms of these hypersurfaces near the origin.

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Author information

Correspondence to Qingyan Wu.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10871172).

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Wu, Q. On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in ℂN+1 . Chin. Ann. Math. Ser. B 31, 201–210 (2010). https://doi.org/10.1007/s11401-008-0394-1

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Keywords

  • Real-analytic infinitesimal CR automorphisms
  • Rigid hypersurfaces
  • Holomorphic automorphisms

2000 MR Subject Classification

  • 32H02
  • 32V40