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On the Kodaira Dimension of the Moduli Space of K3 Surfaces II

Published online by Cambridge University Press:  04 December 2007

SHIGEYUKI KONDŌ
SHIGEYUKI KONDŌ
Affiliation:
Graduate school of Polymathematics, Nagoya University, Nagoya, 464-01 Japan; e-mail: kondo@.magoya-u.ac.jp
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Abstract

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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 surfaceAutomorphic formsmoduli.
Type
Research Article
Information
Compositio Mathematica , Volume 116 , Issue 2 , April 1999 , pp. 111 - 117
Copyright
© 1999 Kluwer Academic Publishers