2012 Fiscal Year Final Research Report
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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| Keywords | 高次元類体論 / 代数的 K 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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