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In this paper, we introduce the condition $(\mathrm{I})$ (cf. Section \ref{S5}) and prove that there is no nontrivial tangential holomorphic vector field of a certain hypersurface of infinite type in $\mathbb C^2$.
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참고문헌 (4)
참고문헌 신청
J. Byun / 2012 / The characterization of holomorphic vector fields van-ishing at an infinite type point / J. Math. Anal. Appl 387(2):667~675
R. Greene / 1993 / Techniques for studying automorphisms of weakly pseu-doconvex domains / Princeton Univ. Press :389~410
A. Hayashimoto / 2016 / Infinitesimal CR automorphisms and stability groups of infinite type models in C2 / Kyoto J. Math 56(2):441~464
K.-T. Kim / 2015 / On the tangential holomorphic vector fields vanishing at an infinite type point / Trans. Amer. Math. Soc 367(2):867~885
R. Greene / 1993 / Techniques for studying automorphisms of weakly pseu-doconvex domains / Princeton Univ. Press :389~410
A. Hayashimoto / 2016 / Infinitesimal CR automorphisms and stability groups of infinite type models in C2 / Kyoto J. Math 56(2):441~464
K.-T. Kim / 2015 / On the tangential holomorphic vector fields vanishing at an infinite type point / Trans. Amer. Math. Soc 367(2):867~885
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