Fields of definition of singular K3 surfaces

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This paper gives upper and lower bounds for the degree of the field of definition of a singular K3 surface, generalising a recent result by Shimada. We use work of Shioda-Mitani and Shioda-Inose and classical theory of complex multiplication.
11 pages, 1 table; v2: incorporated referee's comments, moved CM-section

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Algebraic Geometry, Number Theory, 14J28; 11G15, 11R29, 11R37, 14K22

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http://salesiana.dossiersoluciones.com/handle/123456789/121658

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612396
 http://arxiv.org/abs/math/0612396

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arXiv