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Towards a classification of modular compactifications of M_{g,n}

Smyth, David


The moduli space of smooth curves admits a beautiful compactifi- cation Mg,n ? Mg,n by the moduli space of stable curves. In this paper, we undertake a systematic classification of alternate modular compactifications of Mg,n. Let Ug,n be the (non-separated) moduli stack of all n-pointed reduced, connected, complete, one-dimensional schemes of arithmetic genus g. When g = 0, U0,n is irreducible and we classify all open proper substacks of U0,n. When g = 1, Ug,n may not be irreducible, but there...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Inventiones Mathematicae
DOI: 10.1007/s00222-012-0416-1


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