| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
We established various theories which are necessary to construct compactifications of moduli spaces of abelian varieties by log geometry as moduli spaces of log abelian varieties. For example, the theory of proper models for log abelian varieties; in particular, we proved that a proper model always exists. We systematically analyzed torsors and log torsors on a log abelian variety, by which together with the existence of proper models we had a theory of projective models for log abelian varieties. In particular, we almost proved the existence of projective models. We obtained a whole picture of log abelian varieties over a trait. We studied the comparison of algebraic geometry and formal geometry over a log abelian variety.
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