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arxiv: 0902.3690 · v2 · submitted 2009-02-21 · 🧮 math.AG

Towards a classification of modular compactifications of the moduli space of curves

classification 🧮 math.AG
keywords curvesspacecompactificationsmodularmodulismoothadmitsalternate
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The space of smooth curves admits a beautiful compactification by the moduli space of Deligne-Mumford stable curves. In this paper, we undertake a systematic investigation of alternate modular compactifications of the space of smooth curves.

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