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| A Construction of the Rational Function Sheaves on Elliptic Curves |
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Citation： |
Jianmin CHEN,Yanan LIN.A Construction of the Rational Function Sheaves on Elliptic Curves[J].Chinese Annals of Mathematics B,2008,29(6):585~596 |
| Page view： 1100
Net amount： 865 |
Authors： |
Jianmin CHEN; Yanan LIN |
Foundation： |
the National Natural Science Foundation of China (No. 10671161) and the Doctoral Program Foundation of the Ministry of Education of China (No. 20060384002). |
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| Abstract： |
The authors introduce an effective method to construct the rational function sheaf K on an elliptic curve E, and further study the relationship between K and any coherent sheaf on E. Finally, it is shown that the category of all coherent heaves of finite length on E is completely characterized by K. |
Keywords： |
Elliptic curve, Coherent sheaf, Rational function sheaf |
Classification： |
14H52, 14F05, 16G20, 18E15 |
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