Papers › Explicit modularity of K3 surfaces with complex multiplication of large degree
Explicit modularity of K3 surfaces with complex multiplication of large degree
Edgar Costa, Andreas-Stephan Elsenhans, Jörg Jahnel, John Voight
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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 ψ_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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