Welcome to Journal of University of Chinese Academy of Sciences,Today is

›› 2009, Vol. 26 ›› Issue (2): 152-157.DOI: 10.7523/j.issn.2095-6134.2009.2.002

• Research Articles • Previous Articles     Next Articles

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 Online: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

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

CLC Number: