| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Let X be a complex projective surface, and H be an ample line bundle on X. There is a moduli scheme M(H) of H-stable vector bundles on X with fixed Chern classes. M(H) is a specific example of higher-dimensional algebraic variety. In birational geometry, there are several methods and theories to study higher-dimensional varieties V. In this research, we aimed at constructing and interpreting them by moduli-theoretic way in case where V is M(H). Consequently, we calculated the Kodaira dimension of M(H) when (1) X is an Enriques surface or (2) X is an elliptic surface with Kodaira dimension 1 and X has a few singular fibers.
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