Algebraization of bundles on non-proper schemes
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- by Vladimir Baranovsky PDF
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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.References
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Additional Information
- Vladimir Baranovsky
- Affiliation: Department of Mathematics, University of California - Irvine, Irvine, California 92697
- Email: vbaranov@math.uci.edu
- Received by editor(s): March 25, 2008
- Published electronically: August 12, 2009
- Additional Notes: This work was supported by a Sloan Research Fellowship.
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 427-439
- MSC (2000): Primary 14D20
- DOI: https://doi.org/10.1090/S0002-9947-09-04948-4
- MathSciNet review: 2550158