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The Kodaira dimension of moduli spaces of curves with marked points
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 125, Number 1, February 2003
- pp. 105-138
- 10.1353/ajm.2003.0005
- Article
- Additional Information
The purpose of this paper is to generalize the methods and results due to Eisenbud, Harris, and Mumford on the moduli space of curves of genus g to the moduli space of curves of genus g with n marked points. The main result is the determination, for each g with 4 ≤ g ≤ 23, of an n such that the moduli space is of general type.