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Summary Let X be an algebraic K3 surface with Picard lattice N(X), and MX(v) the moduli space of sheaves on X with given primitive isotropic Mukai vector v = (r, H, s). In [14] and [3], we described all the divisors in moduli of polarized K3 surfaces (X, H) (that is, all pairs H ∈ N(X) with rank N(X) = 2) for which MX(v)≅X. These...
Abstract:We extend our variant of mirror symmetry for K3 surfaces [GN3] and clarify its relation with mirror symmetry for CalabiYau manifolds. We introduce two classes (for the models A and B) of CalabiYau manifolds fibrated by K3 surfaces with some special Picard lattices. These two classes are related with automorphic forms on IV type domains which we studied in our papers [GN1][GN6]. Conjecturally...
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