On the automorphism group of a certain infinite type domain in ${\mathbb{C}}^2$

Abstract

In this article, we consider an infinite type domain ${\Omega }_P$ in ${\mathbb{C}}^2$. The purpose of this paper is to investigate the holomorphic vector fields tangent to an infinite type model in ${\mathbb{C}}^2$ vanishing at an infinite type point and to give an explicit description of the automorphism group of ${\Omega }_P$.

18 pages