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Transactions of the American Mathematical Society

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Algebraization of bundles on non-proper schemes


Author: Vladimir Baranovsky
Journal: Trans. Amer. Math. Soc. 362 (2010), 427-439
MSC (2000): Primary 14D20
Published electronically: August 12, 2009
MathSciNet review: 2550158
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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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Additional Information

Vladimir Baranovsky
Affiliation: Department of Mathematics, University of California - Irvine, Irvine, California 92697
Email: vbaranov@math.uci.edu

DOI: https://doi.org/10.1090/S0002-9947-09-04948-4
Received by editor(s): March 25, 2008
Published electronically: August 12, 2009
Additional Notes: This work was supported by a Sloan Research Fellowship.
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.