2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112823Let 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.15 pages; minor changesNumber TheoryAlgebraic Geometry11G10Abelian Varieties over Cyclic Fieldstext