2010 Fiscal Year Final Research Report
A study of complex surface singularities with rational homology sphere links
| Project/Area Number |
20540060
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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 |
Geometry
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| Research Institution | Yamagata University |
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Principal Investigator |
OKUMA Tomohiro Yamagata University, 地域教育文化学部, 准教授 (00300533)
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| Co-Investigator(Renkei-kenkyūsha) |
TOMARU Tadashi 群馬大学, 医学部, 教授 (70132579)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 2次元特異点 / splice-quotient特異点 / 幾何種数 / 埋め込み次元 / 重複度 |
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| Research Abstract |
For splice quotient singularities, which form an important class of complex surface singularities with rational homology sphere links, we obtained new results on determining if fundamental analytic invariants such as the embedding dimension, the multiplicity, and the geometric genus are topological, and on a method to compute these invariants explicitly. We also obtained an additivity formula for the geometric genus for a class larger than that of splice quotient singularities.
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