study of commutative rings of positive characteristic using vector bundles
| Project/Area Number |
22540056
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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 | Ritsumeikan 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 |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 代数多様体 / 正標数 / ベクトルバンドル / 小平消滅定理 / 持ち上げ可能性 / 代数幾何学 / Calabi-Yau 3-fold / 代数学 / 可換環論 / 特異点理論 / 双有理幾何学 |
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| Research Abstract |
I considered the problem whether there exist counter-examples toKodaira type vanishing of cohomoogies for Calabi-Yau 3-folds in positive characteristic.I have studied possibility of constructing the counter-examples via Raynaud-Mukai-s ideaand for the main two examples of unliftable Calabi-Yau 3-fods I showed that Kodaira typevanishing holds to some extent.
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Report
(4 results)
Research Products
(5 results)
