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arxiv: 1402.5685 · v2 · pith:7TGVM4JNnew · submitted 2014-02-23 · 🧮 math.AG

Uhlenbeck compactification as a functor

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keywords functorcompactificationauthorsbundlescompactifyingdefineddefinitiondifferent
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We give a definition of a functor compactifying the functor of bundles on a surfaces. Earlier different authors have defined similar spaces as either images under a morphism or a quotient by an equivalence relation. We use the technique of multiplicative functors to explain what kind of objects are parameterized by the points of this compactification.

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