2009 Fiscal Year Final Research Report
Classification of isolated singularities by means of algebraic geometric studies of invariants
| Project/Area Number |
18540051
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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 |
Algebra
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| Research Institution | Nihon University |
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Principal Investigator |
TOMARI Masataka Nihon University, 文理学部, 教授 (60183878)
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| Co-Investigator(Kenkyū-buntansha) |
WATANABE Keiichi 日本大学, 文理学部, 教授 (10087083)
MATSUURA Yutaka 日本大学, 文理学部, 准教授 (50096905)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 代数幾何学 / 特異点 |
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| Research Abstract |
Tomari found a sufficient condition for the new 5 classes of hypersurface simple K3 singularities would be the last of 95+5 classes. The four of these 5 classes are the classical one found in the Ishii-Tomari theory on Veronese subring of famous 95 classes, but the other one is completely new one. Watanabe has been studying F-threshold, integral closures, and tight closures of several ideals and got many results.
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