Period and index of genus one curves over number fields

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The period of a curve is the smallest positive degree of Galois-invariant divisor classes. The index is the smallest positive degree of rational divisors. We construct examples of genus one curves with prescribed period and index over certain number fields.
16 pages

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Number Theory, 11G05

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http://salesiana.dossiersoluciones.com/handle/123456789/172948

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.5760
 http://arxiv.org/abs/0810.5760

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arXiv