Arithmetic geometry through higher dimensional class field theory
| Project/Area Number |
21740015
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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 | Hiroshima University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 高次元類体論 / 代数的 K 理論 / 代数的K理論 / 分岐理論 |
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| Research Abstract |
We have obtained the following results:
1. The structure of the Milnor K-group of a mixed characteristic complete discrete valuation field
2. Calculation of the image of the cycle map and the Chow group of the product of elliptic curves over p-adic field
3. Definition of the Milnor type K-group attached to commutative algebraic groups and its applications
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Report
(5 results)
Research Products
(45 results)
