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arxiv: 0802.4338 · v2 · submitted 2008-02-29 · 🧮 math.AG

Algebraization of bundles on non-proper schemes

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keywords algebraizationbundlescodimensionexistswhenadditionalalwayscertain
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We consider the algebraization problem for principal bundles with reductive structure group, defined on the complement of a closed subset Z in a proper formal scheme. We show that, when Z is of codimension at least 3, an algebraization always exists. For codimension 2 we show that an algebraization exists precisely when a certain additional condition is satisfied.

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