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中国科学院大学学报 ›› 2009, Vol. 26 ›› Issue (2): 152-157.DOI: 10.7523/j.issn.2095-6134.2009.2.002

• 论文 • 上一篇    下一篇

一类代数曲线的K2

刘杭, 唐国平   

  1. 中国科学院研究生院数学科学学院, 北京 100049
  • 收稿日期:2008-01-29 修回日期:2008-05-15 发布日期:2009-03-15
  • 通讯作者: 唐国平
  • 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

LIU Hang, TANG Guo-Ping   

  1. School of Mathematical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100049, China
  • Received:2008-01-29 Revised:2008-05-15 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

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.

关键词: 代数曲线, Beilinson猜想, K2群, 挠除子

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.

Key words: algebraic curve, Beilinson’s conjecture, K2 group, torsion divisor

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