A Construction of the Rational Function Sheaves on Elliptic Curves |
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| Authors: | Jianmin CHEN and Yanan LIN |
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| Affiliation: | School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China |
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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 sheaves of finite length on E is completely characterized by K. |
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| Keywords: | Elliptic curve Coherent sheaf Rational function sheaf |
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