On the automorphism group of a certain infinite type domain in \mathbb C²

2015/06/05 by Ninh Van Thu, Van Thu, Ninh
Mathematics · #32M05 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1506.01820

openalex publication_date 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article, we consider an infinite type domain Ω_P in \mathbb C². The purpose of this paper is to investigate the holomorphic vector fields tangent to an infinite type model in \mathbb C² vanishing at an infinite type point and to give an explicit description of the automorphism group of Ω_P.

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