Abelian Varieties over Cyclic Fields

Details Abelian Varieties over Cyclic Fields Abelian Varieties over Cyclic Fields

2006-05-16

arxiv.org/abs/math/0605444v3

Mathematics

Number Theory

15 pages; minor changes

Scientific paper

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.

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