2012 Fiscal Year Final Research Report
Motivic L-functions, generalized hypergeometric functions and generalized polylogarithms
| Project/Area Number |
21740002
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Chiba University |
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Principal Investigator |
NORIYUKI Otsubo 千葉大学, 大学院・理学研究科, 准教授 (60332566)
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| Project Period (FY) |
2009 – 2012
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| 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 |
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| 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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