Communications in Number Theory and Physics

Volume 1 (2007)

Number 2

Fields of definition of singular K3 surfaces

Pages: 307 – 321

DOI: http://dx.doi.org/10.4310/CNTP.2007.v1.n2.a2

Author

Matthias Schütt (Department of Mathematics, Harvard University)

Abstract

This paper gives upper and lower bounds for the degree of the field of definition of a singular K3 surface, generalizing a recent result by Shimada. We use work of Shioda–Mitani and Shioda–Inose and classical theory of complex multiplication.

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