On Tate-Shafarevich groups of 1-motives
Number Theory
2016-08-09 v2 Algebraic Geometry
Abstract
We establish the finiteness of the kernel and cokernel of the restriction map III^{i}(F,M) ---> III^{i}(K,M)^{G} 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 G.
Keywords
Cite
@article{arxiv.1601.04510,
title = {On Tate-Shafarevich groups of 1-motives},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:1601.04510},
year = {2016}
}
Comments
13 pages. Final version accepted for publication