| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The moduli space of abelian varieties has many applications in algebra. The aim of this research is to investigate the stratifications and the foliations on the space in positive characteristic. We succeeded in giving a new criterion for the affineness of the distinguished Deligne-Lusztig varieties, which have similar structures as the Ekedahl Oort strata on the moduli space of abelian varieties. Moreover, Momonari Kudo and I enumerated superspecial curves of genus 4 in characteristic at most 7. Particularly we proved the non-existence of superspecial curves of genus 4 in characteristic 7 (a negative answer to a question by Ekedahl in 1987). Besides, we obtained results on p-divisible groups with saturated Newton polygons and got some new knowledge via a collaboration with Nobuhiro Higuchi.
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