The degree of biholomorphic mappings between special domains in Cn preserving 0

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 1077-1082
• 页数: 6页
• 语种: 英文
• DOI: 10.1007/s11425-017-9048-y

摘要

Let Gi be a closed Lie subgroup of U(n),Ωi be a bounded Gi-invariant domain in Cn which contains 0,and (O)(Cn)Gi =C,for i =1,2.If f:Ω1 → Ω2 is a biholomorphism,and f(0) =0,then f is a polynomial mapping (see Ning et al.(2017)).In this paper,we provide an upper bound for the degree of such polynomial mappings.It is a natural generalization of the well-known Cartan's theorem.