Title: The Kodaira dimension of moduli spaces of curves with marked points
Abstract: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 ...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.Read More