Holomorphic curves and complex Monge-Ampere equation

2016 Fiscal Year Final Research Report

• Project/Area Number: 15H06129
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Basic analysis
• Research Institution: The University of Tokyo
• Principal Investigator: Tiba Yusaku 東京大学, 大学院数理科学研究科, 特任助教 (90635616)
• Project Period (FY): 2015-08-28 – 2017-03-31
• Keywords: 複素モンジュ・アンペール方程式

Outline of Final Research Achievements

We study the relation between the complex Monge-Ampere equation and holomoprhic curves. As a result, we show a sufficient condition such that the complement of a entire maps in a compact Kahler manifold is pluri-polar set. This is a new property of entire maps. We use pluripotential theory to study holomorphic maps.

Free Research Field

多変数複素関数論