2009 Fiscal Year Final Research Report
study of arithmetic properties of motives
| Project/Area Number |
19540007
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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 | University of Tsukuba |
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Principal Investigator |
KIMURA Kenichiro University of Tsukuba, 大学院・数理物質科学研究科, 講師 (50292496)
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| Co-Investigator(Kenkyū-buntansha) |
KIMURA Shun-ichi 広島大学, 大学院・理学研究科, 准教授 (10284150)
BANNAI Kenichi 慶應義塾大学, 理工学部, 講師 (90343201)
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| Project Period (FY) |
2007 – 2009
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| Keywords | モチーフ |
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| Research Abstract |
We studied higher 1-adic Abel-Jacobi map which is a method to detect algebraic cycles over number fields. Using Nori's construction of the category of motives, we obtained a simple description of higher Abel-Jacobi map. We give an alternate proof of a Theorem of Jannsen on the second Abel-Jacobi map. We have started the construction of the category of mixed elliptic motives.
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