The structures of hypersurface simple K3 singularities
| Project/Area Number |
22540060
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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 | Shinshu University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 特異点論 / 超曲面孤立特異点 / 単純K3特異点 / リンク / K3曲面 / トポロジー / オ－リック予想 / 特性多項式 / ザリスキ予想 / 特異点 / オーリック予想 / 正規K3曲面 |
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| Research Abstract |
We show the existence of infinitely many links of non-degenerate simple K3 singularities defined by non-quasi-homogeneous polynomials, which do not appear in the case of the singularities defined by quasi-homogeneous polynomials. Moreover, we give a result that relates the diffeomorphism types of the links of non-degenerate semi-quasi-homogeneous hypersurface simple K3 singularities with the singularities of the normal K3 surface that appears as the exceptional divisor of the resolution of the singularity. We also classify links of the some complex 3-dimensional hypersurface isolated singularities up to regular homotopies under some conditions.
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Report
(4 results)
Research Products
(17 results)
