# Normalization of the 1-stratum of the moduli space of stable curves

### Dan Edidin

University of Missouri, Columbia, USA### Damiano Fulghesu

Minnesota State University, Moorhead, USA

## Abstract

Let $\mathcal{M}_g(\Gamma)$ be the stack of stable curves of genus $g$ with a given dual graph $\Gamma$ and let $\overline{\mathcal{M}}_g(\Gamma)$ be its closure in $\overline{\mathcal{M}}_g$. We consider the normalization of $\overline{\mathcal{M}}_g(\Gamma)$ in order to classify the residual orbifolds of the normalizations of the irreducible components of the locus in $\overline{\mathcal{M}}_g$ corresponding to curves with at least $3g - 4$ nodes.

## Cite this article

Dan Edidin, Damiano Fulghesu, Normalization of the 1-stratum of the moduli space of stable curves. Port. Math. 69 (2012), no. 3, pp. 167–192

DOI 10.4171/PM/1912