2010 Fiscal Year Final Research Report
DIVISORS AND MEROMORPHIC CONVEXITY IN A STEIN SPACE
| Project/Area Number |
20540180
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Kumamoto University |
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Principal Investigator |
ABE Makoto Kumamoto University, 大学院・生命科学研究部, 准教授 (90159442)
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| Co-Investigator(Kenkyū-buntansha) |
SHIMA Tadashi 広島大学, 大学院・工学研究院, 准教授 (30226196)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 複素解析 |
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| Research Abstract |
A Stein space is a mathematical object on which there exist sufficiently many holomorphic functions. A pseudoconvex domain in the space Cn 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 divisors, some new results are obtained on the generalized meromorphic approximation theorem in a Stein space, on the local Steinness of a domain in a Stein orbifold satisfying the Oka-Grauert principle, and on the relation between the strong disk property and the Rungeness.
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Research Products
(15 results)
