2011 Fiscal Year Final Research Report
Explicit constructions of several algebraic varieties
| Project/Area Number |
20540042
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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 | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Keywords | 代数幾何 |
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| 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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