| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
Any abelian variety $(G_{\eta},\cL{\eta})$ over a complete discrete valuation ring has a unique N\'eron model $\cG$. Our main result is stated as follows: if $\cG$ is semi-abelian, then there exists a unique relative compactification $(P,\cN)$ such that (i) $\cN$ is a polarization of $\cG$ extending the $n$-th tensor of $\cL_{\eta}$ for some $n$ with $\cN_{\cG}$ cubical, (ii) $P$ is Cohen-Macaulay, (iii) $P\setminus\cG$ is of codimension at least two.
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