2010 Fiscal Year Final Research Report
Research on p-adic Hodge theory
| Project/Area Number |
21840001
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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 | Hokkaido University |
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Principal Investigator |
MORITA Kazuma Hokkaido University, 大学院・理学研究院, 助教 (40548187)
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| Project Period (FY) |
2009 – 2010
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| Keywords | p進表現 / p進微分方程式 |
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| Research Abstract |
We study the p-adic analogy of the Griffiths transversality of Gauss-Manin connections which plays the essential roles in the deformation theory of classical Hodge structures. Furthermore, we propose that there also exists an analogy theory if we regard an integral arithmetic variety as a family over the spectrum of a ring of integers.
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