Abelian Varieties over Cyclic Fields
Number Theory
2007-05-23 v3 Algebraic Geometry
Abstract
Let K be a field not of characteristic 2 such that every finite separable extension of K is cyclic. Let A be an abelian variety over K. If K is infinite, then A(K) is Zariski-dense in A. If K is not locally finite, the rank of A over K is infinite.
Keywords
Cite
@article{arxiv.math/0605444,
title = {Abelian Varieties over Cyclic Fields},
author = {Bo-Hae Im and Michael Larsen},
journal= {arXiv preprint arXiv:math/0605444},
year = {2007}
}
Comments
15 pages; minor changes