Explicit constructions of several algebraic varieties
Project/Area Number |
20540042
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Kyoto University |
Principal Investigator |
|
Project Period (FY) |
2008 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
Keywords | 代数幾何 / 代数学 / 代数幾何学 / 代数多様体 / 自己正則写像 |
Research Abstract |
Two results are obtained by applying explicit constructions to the classification problem of surfaces which admit non-isomorphic surjective endomorphisms. One is the case of normal projective complex surfaces, and the classification has been completed except for the case of some special rational surfaces. The other is the case of non-singular projective surfaces in positive characteristic, and we have also certain classification results assuming that the endomorphisms are separable.
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Report
(6 results)
Research Products
(17 results)