Abelian Varieties over Cyclic Fields

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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.
15 pages; minor changes

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Number Theory, Algebraic Geometry, 11G10

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http://salesiana.dossiersoluciones.com/handle/123456789/112823

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605444
 http://arxiv.org/abs/math/0605444

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arXiv