On the Kodaira Dimension of the Moduli Space of K3 Surfaces II
On the Kodaira Dimension of the Moduli Space of K3 Surfaces II
复制标题
K3曲面模空间的小平维数II
作者：
S. Kondō
本文证明了当n = 42，43，51，53，55，57，59，61，66，67，69，74，83，85，105，119或133时，2n次极化K3曲面的模空间的科代拉维数非负.我们使用与假怪物李代数Borcherds构造的自守形式。
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.