# Questions tagged [moduli-spaces]

Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.

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### Fibers of the Hilbert-Chow morphism vs local punctual Hilbert schemes

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### moduli space of toric structures on a fixed toric variety (reference?)

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### Conceptual explanation for $\chi(\mathcal{A_g})=\chi(\mathcal M_{1} \times … \times \mathcal M_{g})$?

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### Regularity of the modular curves $Y(N)$, $Y_1(N)$

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### What is the official definition of $\mathcal{M}_g$ as an orbifold, and how much can I ignore it?

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### Fano Schemes of Intersections of Quadrics

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### Generators of the mapping class group for surfaces with punctures and boundaries

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### Smoothness of the moduli space of Drinfeld modules

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### What is the analogy between the moduli of shtukas and Shimura varieties?

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### The moduli scheme of “$\nu$-canonically embeded curves”

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### The moduli scheme of smooth curves of given genus is irreducible

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### Level structures in deformation spaces of $p$-divisible groups

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### Torsor descriptions of $Bun_G$

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### Complexifed Gauge action on determinant line bundle and change of metric

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