Stability of direct images by Frobenius morphisms and algebraic geometry in positive characteristic
| Project/Area Number |
20840032
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| Research Category |
Grant-in-Aid for Young Scientists (Start-up)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Hiroshima University |
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Principal Investigator |
KITADAI Yukinori Hiroshima University, 工学研究科, 特任助教 (30511563)
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| Project Period (FY) |
2008 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,276,000 (Direct Cost: ¥2,520,000、Indirect Cost: ¥756,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,716,000 (Direct Cost: ¥1,320,000、Indirect Cost: ¥396,000)
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| Keywords | ベクトル束 / 安定性 / 半安定ベクトル束 / 正標数 / フロベニウス写像 / de Rham複体 / 小平消滅定理 / 代数幾何学 / 平安定余接束 / dc Rham 複体 / de Rham 複体 |
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| Research Abstract |
We studied the problem of whether taking direct images of semistable vector bundles on algebraic varieties in positive characteristic by Frobenius morphisms preserves semistability or not and related problems. Calculations to find concrete examples of algebraic surfaces whose cotangent bundles are semitable or are not semistable by Frobenius pullback several times were proceeded.
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Report
(3 results)
Research Products
(5 results)
