ar X iv : m at h / 06 05 44 4 v 1 [ m at h . N T ] 1 6 M ay 2 00 6 ABELIAN VARIETIES OVER CYCLIC FIELDS
نویسنده
چکیده
Let K be a field of characteristic 6= 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. Unless K ⊂ F̄p for some p, the rank of A over K is infinite.
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