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Moduli Theory
Moduli Theory
Moduli Theory
Concepts
Moduli Problems
Moduli of Curves $\mathcal{M}_g$
Classifying Stack $BG$
Hilbert and Quot Schemes
Deformation Theory
Theorems
Deligne-Mumford Theorem on $\overline{\mathcal{M}}_g$
Artin's Criteria for Algebraicity
Schlessinger's Theorem
Kodaira-Spencer Map
Proofs
Proof that $\mathcal{M}_g$ is a Deligne-Mumford Stack
Mathematics Lecture Notes