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On the Kodaira Dimension of the Moduli Space of K3 Surfaces II
Authors:Shigeyuki Kondō
Institution:(1) Graduate school of Polymathematics, Nagoya University, Nagoya, 464-01, Japan
Abstract:We show that the Kodaira dimension of the moduli space of polarized K3 surfaces of degree 2n in non negative if n = 42, 43, 51, 53, 55, 57, 59, 61, 66, 67, 69, 74, 83, 85, 105, 119 or 133. We use an automorphic form associated with the fake monster Lie algebra constructed by Borcherds.
Keywords:K surface  Automorphic forms  moduli  
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