2010 Fiscal Year Final Research Report
study of endomorphisms of projective algebraic varieties
| Project/Area Number |
20540048
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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 | Nara Medical University |
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Principal Investigator |
FUJIMOTO Yoshio Nara Medical University, 医学科, 教授 (90192731)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 代数学 / 幾何学 / 代数幾何学 / 複素多様体論 / 自己準同型写像 |
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| Research Abstract |
We have studied the structure of smooth projective 3-fold X with negative Kodaira dimension admitting non-isomorphic etale endomorphisms. The trouble is that there may exist KX-negative extremal rays which are not preserved by any power of f. However, by replacing f by a composite with a suitable automorphism of X, minimal model programs work in the category of etale edomorphisms in many cases. We have classified the candidate of such a variety X.
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