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Results tagged with moduli-spaces
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user 126183
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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Stable curves over non-noetherian schemes
In their seminal paper The irreducibility of the space of curves of a given genus, Deligne and Mumford define a stable curve of genus $g$ over a scheme $S$ to be a flat, proper morphism $X\to S$, all …
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