Abelian Varieties over Cyclic Fields
数论
2007-05-23 v3 代数几何
摘要
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.
引用
@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}
}
备注
15 pages; minor changes