On the tangential holomorphic vector fields vanishing at an infinite type point

Kim, Kang-Tae; Thu, Ninh

doi:10.1090/S0002-9947-2014-05917-5

On the tangential holomorphic vector fields vanishing at an infinite type point
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by Kang-Tae Kim and Ninh Van Thu PDF

Trans. Amer. Math. Soc. 367 (2015), 867-885 Request permission

Abstract:

Let $(M,p)$ be a $\mathcal C^\infty$ smooth non-Leviflat CR hypersurface germ in $\mathbb C^2$ where $p$ is of infinite type. The purpose of this article is to investigate the holomorphic vector fields tangent to $(M,p)$ vanishing at $p$.

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