On Tate–Shafarevich groups of 1-motives
Volume 177 / 2017
Acta Arithmetica 177 (2017), 75-89
MSC: Primary 11G35; Secondary 14G25.
DOI: 10.4064/aa8489-8-2016
Published online: 9 November 2016
Abstract
We establish the finiteness of the kernel and cokernel of the restriction map for i=1 and 2, where M is a (Deligne) 1-motive over a global field F, and K/ F is a finite Galois extension of global fields with Galois group \varGamma.
