Bundles on non-proper schemes: representability
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Bundles on non-proper schemes: representability


Let X be a proper scheme over a field k which satisfies Serre’s condition S 2 and G a reductive group over k. We prove that the functor of principal G-bundles, defined away from a non-fixed closed subset in X of codimension at least 3, is an algebraic stack in the sense of Artin.

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