2012 Fiscal Year Final Research Report
Study on arithmetic geometry by arithmetic cohomology
| Project/Area Number |
20540025
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2012
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| Keywords | 数論幾何 |
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| Research Abstract |
In arithmetic geometry(=the conjunction of arithmetic andgeometry), there is a theory of p-adic cohomology. For this theory, we have constructed afundamental theory of logarithmic convergent topoi and proved various properties oflogarithmic weight filtration. We have also constructed the p-adic weight spectralsequences of proper varieties with any singularities over the fraction field of a completediscrete valuation ring of mixed characteristics and proved the fundamental properties ofit.
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Research Products
(8 results)
