一类代数曲线的K2群 |
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作者姓名: | 刘杭 唐国平 |
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作者单位: | 中国科学院研究生院数学科学学院, 北京 100049 |
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基金项目: | supported by the National Natural Science Foundation of China (10671202) and Hundred Talent program of Chinese Academy of Sciences corresponding author |
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摘 要: | 对一类有理数域上的代数曲线,构造出了它们的K2群中的一些元素,并证明了这些元素之间一些有趣的线性关系;同时,还讨论了这些元素的整性质.
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关 键 词: | 代数曲线 Beilinson猜想 K2群 挠除子 |
收稿时间: | 2008-01-29 |
修稿时间: | 2008-05-15 |
On the K2 group of a family of curves |
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Authors: | LIU Hang TANG Guo-Ping |
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Institution: | School of Mathematical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100049, China |
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Abstract: | In this paper, we construct a family of algebraic curves over Q with many elements in the K2 group. Some interesting linear relationships between these elements are proved. Moreover, the integrality property of these elements is discussed. |
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Keywords: | algebraic curve Beilinson’s conjecture K2 group torsion divisor |
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