# Towards an Enumerative Geometry of the Moduli Space of Curves

@inproceedings{Mumford1983TowardsAE, title={Towards an Enumerative Geometry of the Moduli Space of Curves}, author={David Mumford}, year={1983} }

The goal of this paper is to formulate and to begin an exploration of the enumerative geometry of the set of all curves of arbitrary genus g. By this we mean setting up a Chow ring for the moduli space M g of curves of genus g and its compactification M g, defining what seem to be the most important classes in this ring and calculating the class of some geometrically important loci in M g in terns of these classes. We take as a model for this the enumerative geometry of the Grassmannians. Here… Expand

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