Motivic L-functions, generalized hypergeometric functions and generalized polylogarithms
Project/Area Number |
21740002
|
Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Algebra
|
Research Institution | Chiba University |
Principal Investigator |
NORIYUKI Otsubo 千葉大学, 大学院・理学研究科, 准教授 (60332566)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 数論幾何学 / モチーフ / L 関数 / 超幾何関数 / 代数的サイクル / L関数 / 一般超幾何関数 / 多重対数関数 / モチーフ的コホモロジー / ベイリンソン予想 |
Research Abstract |
We expressed the regulators of Fermat motives in terms of specialvalues of generalized hypergeometric functions and obtained positive results on theBeilinson conjecture. We also expressed the images of the Ceresa cycles associated withFermat curves under the Abel-Jacobi maps in terms of special values of generalizedhypergeometric functions and obtained non-trivial elements of the Griffiths groups of theJacobian varieties.
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Report
(5 results)
Research Products
(32 results)