2012 Fiscal Year Final Research Report
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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| Keywords | 数論 / 数論幾何 |
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| 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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