Invariant holomorphic extension in several complex variables Dedicated to Professor Sheng GONG on the occasion of his 75th birthday  

作　　者：ZHOU Xiangyu 

机构地区：[1]Institute of Mathematics, AMSS, Beijing, Chinese Academy of Sciences

出　　处：《Science China Mathematics》2006年第11期1593-1598,共6页中国科学：数学（英文版）

摘　　要：Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory of Stein manifolds due to Cartan-Serre. In this paper, the relationship is presented between the two problems, the motivation of considering the problems, and the methods to approach the problems. We have also posed some questions and conjectures related to this two problems.Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory of Stein manifolds due to Cartan-Serre. In this paper, the relationship is presented between the two problems, the motivation of considering the problems, and the methods to approach the problems. We have also posed some questions and conjectures related to this two problems.

关 键 词：STEIN manifold  group action  plurisubharmonic function  minimum principle  CATEGORICAL quotient. 

分 类 号：N[自然科学总论]