Detecting linear dependence by reduction maps

✍ Scribed by G. Banaszak; W. Gajda; P. Krasoń

• Book ID: 104024566
• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 240 KB
• Volume: 115
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2005.01.008

✦ Synopsis

We consider the local-to-global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain corresponding statements for Mordell-Weil groups of non-CM elliptic curves and some higher-dimensional abelian varieties defined over number fields, and also for odd dimensional K-groups of number fields.