Elaborate construction of a concrete theoryof Abelian functions
| Project/Area Number |
22540006
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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 Yamanashi |
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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: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 数論 / 数論幾何 / Jacobi 多様体 / Abel 函数 / 加法公式 / sigma 函数 / Jacobian varieties / Abelian functions / sigma functions / 代数曲線 / アーベル函数 / ヤコビ多様体 / 代数的加法公式 |
|---|
| Research Abstract |
The first year, I participate in an international work shop on this subject,and gave a talk and had discussions with its participants. Then I planed the direction of this threeyear research supported by JSPS.
I invited foreign researcers working on the subject. They and Igot a quite new addition formula for general genus one curve.
With some foreign researchers, I gota explicit and simple system of equations of the Kummer variety coming from a general genus threetrigonal curve. This also gave a nice realization of A. Coble's unique results.
We investigated on theexpansions of some sigma function at the origin.
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Report
(4 results)
Research Products
(26 results)
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[Book] Abel 函数論
Author(s)
大西良博
Total Pages
139
Publisher
中央大学数学教室
Related Report
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