Abstract

We study the field of moduli of singular K3 surfaces. We discuss both the field of moduli over the CM field and over $${{\mathbb {Q}}}$$. As a by-product, we show non-finiteness of isomorphism classes of singular K3 surfaces with field of moduli of bounded degree. Finally, we provide an explicit description of the field of moduli in terms of the 2-torsion of the Galois group of the ring class field over which the K3 surface is defined.

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