Study of the mixed elliptic motives
| Project/Area Number |
22540008
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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 |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 数論幾何学 / ホッジ実現 / モチーフ |
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| Research Abstract |
Generalizing the Bloch-Kriz construction of mixed Tate motives, We constructed a Hopf algebra which should be the Galois group of the category of the Mixed elliptic motives. The method is by the bar construction of a differentialgraded algebra constructed from algebraic cycles on the products of an ellipticcurve and affine spaces. The motive of the elliptic polylogarithm exists in ourcategory.
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Report
(4 results)
Research Products
(12 results)
