On the real-analytic infinitesimal CR automorphism of hypersurfaces of infinite type

Abstract

In this article, we consider a real smooth hypersurface $M\subset {\mathbb{C}}^2$, which is of infinite type at $p\in M$. The purpose of this paper is to show that the real vector space of tangential holomorphic vector field germs at $p$ vanishing at $p$ is either trivial or of real dimension $1$.

14 pages. arXiv admin note: substantial text overlap with arXiv:1303.6156

References in corpus (1)

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