2012 Fiscal Year Final Research Report
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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| 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 |
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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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