2022 Fiscal Year Final Research Report
Study of mixed motives by the bar construction
Project/Area Number |
17K05157
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Algebra
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Research Institution | University of Tsukuba |
Principal Investigator |
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Project Period (FY) |
2017-04-01 – 2023-03-31
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Keywords | 周期積分 |
Outline of Final Research Achievements |
The motivation of this research was to understand the Hodge realization of mixed Tate motives. We constructed ceratain complex of topological chains which we call admissible chains. Via this complex we constructed a Hodge realization functor of mixed Tate motives, and a description of the Abel-Jacobi map of higher Chow cycles.
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Free Research Field |
代数幾何学
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Academic Significance and Societal Importance of the Research Achievements |
これまで構成されたモチーフの圏の実現関手は、ある意味で明快だが高度に抽象的であった。具体的な構成を与えたことで、より周期積分との関係が明らかになった。
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