109 Moduli of Curves

Chapter 109 of the Stacks Project, Moduli of Curves, Tag 0DMG: the 23 sections of its 25 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 69 tags are carried by 189 declarations of the repository (all in StacksFrontier).

109.3 The stack of curves to 109.22 Stable curves

• 109.3 The stack of curves
• 109.4 The stack of polarized curves
• 109.5 Properties of the stack of curves
• 109.6 Open substacks of the stack of curves
• 109.7 Curves with finite reduced automorphism groups
• 109.8 Cohen-Macaulay curves
• 109.9 Curves of a given genus
• 109.10 Geometrically reduced curves
• 109.11 Geometrically reduced and connected curves
• 109.12 Gorenstein curves
• 109.13 Local complete intersection curves
• 109.14 Curves with isolated singularities
• 109.15 The smooth locus of the stack of curves
• 109.16 Smooth curves
• 109.17 Density of smooth curves
• 109.18 Nodal curves
• 109.19 The relative dualizing sheaf
• 109.20 Prestable curves
• 109.21 Semistable curves
• 109.22 Stable curves

109.23 Contraction morphisms to 109.25 Properties of the stack…

• 109.23 Contraction morphisms
• 109.24 Stable reduction theorem
• 109.25 Properties of the stack of stable curves

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