MEROMORPHIC CONVEXITY AND STEINNESS FOR COMPLEX SPACES

2014 Fiscal Year Final Research Report

• Project/Area Number: 23540217
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Hiroshima University
• Principal Investigator: ABE MAKOTO 広島大学, 理学(系)研究科(研究院), 教授 (90159442)
• Co-Investigator(Renkei-kenkyūsha): SHIMA Tadashi 広島大学, 大学院工学研究院, 准教授 (30226196) ; HAMANO Sachiko 福島大学, 人間発達文化学類, 准教授 (10469588)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 複素空間 / シュタイン空間 / シュタイン多様体 / 有理型凸性

Outline of Final Research Achievements

A Stein space is a mathematical object on which there exist sufficiently many holomorphic functions. A pseudoconvex domain in the space of the n-tuples of compex numbers is a typical example of a Stein space. In this course of studies, related to the meromorphic convexity and Steinness for complex spaces, some new results are obtained on the extra zeros of Cartier divisors in a Stein space, on the Steinness or the local Steinness of domains in a Stein orbifold, and on the strong disk property for domains in an open planar Riemann surface.

Free Research Field

数物系科学