Rank of K_2 of elliptic curves

作     者：JI QingZhong & QIN HouRong Department of Mathematics, Nanjing University, Nanjing 210093, China 

作者机构：1. Department of Mathematics Nanjing University Nanjing 210093 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2009年第52卷第10期

页      面：2107-2120页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 10571080, 10871088) Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 200802840003) the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China(No.708044) 

主　　题：elliptic curve regulator map Né ron model 

摘      要：We prove that (i) rank(K2(E)) 1 for all elliptic curves E defined over Q with a rational torsion point of exact order N 4; (ii) rank(K2(E)) 1 for all but at most one R-isomorphism class of elliptic curves E defined over Q with a rational torsion point of exact order 3. We give some sufficient conditions for rank(K2(EZ)) 1.