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Results tagged with moduli-spaces
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user 450
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.
15
votes
Reference request: moduli spaces of vector bundles
Dear Mohammad, there is a rather elementary book Introduction to Moduli Problems and Orbit spaces by P.E. Newstead which will explain to you why stability is important, give you lots of examples (Ch …
- 47.5k
16
votes
Is a 'generic' variety nonsingular? Or singular?
Here are some elementary remarks which would lead me to bet that a variety, of which I am told nothing, is nonsingular. I want to emphasize that I am not answering your question very satisfactorily ( …
- 47.5k