2012 Fiscal Year Final Research Report
On stratifications and foliations on the moduli space of abelian varieties
| Project/Area Number |
21740006
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Yokohama National University (2010-2012)
Kobe University (2009) |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Keywords | 代数幾何学 / 数論幾何学 / アーベル多様体 / モジュライ空間 / p-可除群 / 葉層構造 / 階層構造 / eligne-Lusztig多様体 |
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| Research Abstract |
It is important to study the moduli space of abelian varieties, as it has a wide range of applications. This research concerns the descriptions of stratifications and foliations and with relations between them. In particular we succeeded in determining the Newton polygon of the generic point of each EO-stratum and in determining the structure of EO-strata contained in the supersingular locus. Also we studied several varieties related to these strata.
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