# 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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### Purity and skyscraper sheaves

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### Coarse underlying curve of a smooth stable curve

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### Progress on Bondal–Orlov derived equivalence conjecture

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### Picard group of the moduli space of semistable rank 2 parabolic vector bundles over smooth complex projective curves with trivial determinant

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### Representability of Grassmannian functor by a scheme

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### Base change and family of stable maps

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### Coarse moduli space versus Kuranishi family

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### Log-canonical bundle of a smooth curve with marked points

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### Orientability of moduli space and determinant bundle of ASD operator

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### “Moduli space” of isotropic convex bodies?

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### The moduli space of genus $0$ curves with $n$-punctures and complete linear systems on $\mathbb{P}_k^1$

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### Stable maps with irreducible domain are dense in moduli space of stable maps of genus zero

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### Lie bracket on the complex valued functions of the space of representations of a Riemann surface

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### Dimension of Moduli space of Parabolic $G$- Higgs bundles

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