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Explicit modularity of K3 surfaces with complex multiplication of large degree
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classification
math.NTmath.AG
keywords
complexexplicitmultiplicationsurfacesunderabelianalgebraicassumption
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abstract
We consider the transcendental motive of three K3 surfaces $X$ conjectured to have complex multiplication (CM). Under this assumption, we match these to explicit algebraic Hecke quasi-characters $\psi_X$, and CM abelian threefolds $A$. This provides substantial evidence that a power of $A$ corresponds to $X$ under the Kuga-Satake correspondence.
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