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.
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