K3 Surfaces and Orthogonal Modular Forms
Abstract
We determine explicit generators for the ring of modular forms associated with the moduli spaces of K3 surfaces with automorphism group (Z/2Z)2 and of Picard rank 13 and higher. The K3 surfaces in question carry a canonical Jacobian elliptic fibration and the modular form generators appear as coefficients in the Weierstrass-type equations describing these fibrations.
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