Aspects of purely inseparable morphisms in algebraic geometry
| Project/Area Number |
22540039
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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 | Tohoku University |
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Principal Investigator |
HARA Nobuo 東北大学, 大学院・理学研究科, 准教授 (90298167)
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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 | 代数幾何 / 代数多様体 / 特異点 / 正標数 / フロベニウス写像 / F爆発 / 純非分離射 / F-特異点 / F-爆発 / F-サンドイッチ / 単純楕円型特異点 / フロベニウス射 / F正則 / Fサンドイッチ / 平坦化 |
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| Research Abstract |
We studied Frobenius sandwich singularities and F-blowups of2-dimensional singularities, which are closely related to purely inseparable morphisms in algebraic geometry in positive characteristic. We obtained results on the following subjects: (1) Frobenius sandwich surface singularities whose F-blowup is not the minimal resolution; (2) F-blowups of F-regular surface singularities; (3) F-blowups of non-F-regular rational double points; (4) F-blowups of simple elliptic singularities. (1), (3) and (4) are due to joint works with Tadakazu Sawada and Takehiko Yasuda.
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Report
(4 results)
Research Products
(22 results)
