Algebraic families of nonzero elements of Shafarevich-Tate groups
Number Theory
2017-04-03 v1 Algebraic Geometry
Abstract
We show that there exist non-trivial families of algebraic varieties for which all the fibers above rational points (or even above points of odd degree) are torsors of abelian varieties representing nonzero elements of their Shafarevich-Tate groups.
Keywords
Cite
@article{arxiv.math/9901038,
title = {Algebraic families of nonzero elements of Shafarevich-Tate groups},
author = {Jean-Louis Colliot-Thelene and Bjorn Poonen},
journal= {arXiv preprint arXiv:math/9901038},
year = {2017}
}
Comments
15 pages, Latex 2e