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

Abstract

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.

References in corpus (2)

• Quotients by Groupoids
• Modular compactifications of M_{1,n}

Cited by in corpus (7)

• Alternate Compactifications of Moduli Spaces of Curves
• The Hilbert Stack
• Moduli of Singular Curves
• Birational contraction of genus two tails in the moduli space of genus four curves I
• GIT Constructions of Log Canonical Models of M_g
• Groebner techniques for low degree Hilbert stability
• Alternate compactifications of the moduli space of genus one maps