收稿日期: 2008-01-29
修回日期: 2008-05-15
网络出版日期: 2009-03-15
基金资助
supported by the National Natural Science Foundation of China (10671202) and Hundred Talent program of Chinese Academy of Sciences corresponding author
On the K2 group of a family of curves
Received date: 2008-01-29
Revised date: 2008-05-15
Online published: 2009-03-15
Supported by
supported by the National Natural Science Foundation of China (10671202) and Hundred Talent program of Chinese Academy of Sciences corresponding author
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.
关键词： 代数曲线; Beilinson猜想; K2群; 挠除子
刘杭 , 唐国平 . 一类代数曲线的K2群[J]. 中国科学院大学学报, 2009 , 26(2) : 152 -157 . DOI: 10.7523/j.issn.2095-6134.2009.2.002
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.
Key words： algebraic curve; Beilinson’s conjecture; K2 group; torsion divisor
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