Characterizations of complex manifolds by means of holomorphic automorphism groups

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540166
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Kanazawa University
• Principal Investigator: KODAMA Akio 金沢大学, 数物科学系, 教授 (20111320)
• Co-Investigator(Kenkyū-buntansha): SHIMIZU Satoru 東北大学, 大学院理学研究科, 准教授 (90178971)
• Co-Investigator(Renkei-kenkyūsha): KASUE Atsushi 金沢大学, 数物科学系, 教授 (40152657)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 正則自己同型群 / 一般複素楕円型領域 / 一般型ハルトークスの三角形 / ラインハルト領域 / リュービル葉層構造

Outline of Final Research Achievements

The main purpose of this research is to determine the complex manifold structure by means of the topological group structure of its holomorphic automorphism group. This is very difficult and this cannot be achieved in full generality at this moment. However, we could determine completely the structure of holomorphic automorphism groups of generalized complex ellipsoids and generalized Hartogs triangles. Also, we obtained some important fundamental results on unbounded Reinhardt domains.

Free Research Field

複素幾何学