Algebraization of bundles on non-proper schemes

Baranovsky, Vladimir

doi:10.1090/S0002-9947-09-04948-4

Algebraization of bundles on non-proper schemes
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by Vladimir Baranovsky PDF

Trans. Amer. Math. Soc. 362 (2010), 427-439 Request permission

Abstract:

We study the algebraization problem for principal bundles with reductive structure groups on a non-proper formal scheme. When the formal scheme can be compactified by adding a closed subset of codimension at least 3, we show that any such bundle admits an algebraization. For codimension 2 we provide a necessary and sufficient condition.

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