DOI QR코드

DOI QR Code

HYPERSURFACES OF INFINITE TYPE WITH NULL TANGENTIAL HOLOMORPHIC VECTOR FIELDS

  • Thu, Ninh Van (Department of Mathematics Vietnam National University at Hanoi)
  • Received : 2016.06.07
  • Published : 2017.07.01

Abstract

In this paper, we introduce the condition (I) (cf. Section 2) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in ${\mathbb{C}}^2$.

Keywords

Acknowledgement

Supported by : Vietnam National University (VNU)

References

  1. J. Byun, J.-C. Joo, and M. Song, The characterization of holomorphic vector fields vanishing at an infinite type point, J. Math. Anal. Appl. 387 (2012), no. 2, 667-675. https://doi.org/10.1016/j.jmaa.2011.09.025
  2. R. Greene and S. G. Krantz, Techniques for studying automorphisms of weakly pseudoconvex domains, Math. Notes, Vol 38, Princeton Univ. Press, Princeton, NJ, 1993, 389-410.
  3. A. Hayashimoto and V. T. Ninh, Infinitesimal CR automorphisms and stability groups of infinite type models in ${\mathbb{C}}^2$, Kyoto J. Math. 56 (2016), no. 2, 441-464. https://doi.org/10.1215/21562261-3478925
  4. K.-T. Kim and V. T. Ninh, On the tangential holomorphic vector fields vanishing at an infinite type point, Trans. Amer. Math. Soc. 367 (2015), no. 2, 867-885. https://doi.org/10.1090/S0002-9947-2014-05917-5