Fields of definition of singular K3 surfaces

Details Fields of definition of singular K3 surfaces Fields of definition of singular K3 surfaces

2006-12-14

arxiv.org/abs/math/0612396v2

Mathematics

Algebraic Geometry

11 pages, 1 table; v2: incorporated referee's comments, moved CM-section

Scientific paper

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.

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