2011 Fiscal Year Final Research Report
Study on homological conjectures and their applications
| Project/Area Number |
22840042
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Meiji University |
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Principal Investigator |
SHIMOMOTO Kazuma 明治大学, 研究・知財戦略機構, ポスト・ドクター (70588780)
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| Project Period (FY) |
2010 – 2011
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| Keywords | 数論 / 代数幾何への応用 |
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| Research Abstract |
I made an extensive study on homological conjectures in commutative algebra and developed some algebraic techniques. These techniques were applied to consider applications to singularities arising from algebraic geometry and the main conjecture of Iwasawa theory on modular forms.
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