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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An algebraic $ SL_{2}$-vector bundle
over $ R_{2}$ as a variety


Author: Teruko Nagase
Journal: Proc. Amer. Math. Soc. 124 (1996), 3325-3331
MSC (1991): Primary 14L30, 14D20; Secondary 19A13, 19L47
MathSciNet review: 1372042
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Abstract: We show the stable triviality of all the elements in $\operatorname {VEC}(R_{2},R_{n})$ concretely, and describe $\operatorname {VEC}(R_{2},R_{n})$ as surjection classes from a trivial bundle to another. The results also contain the explicit description of non-linearizable $SL_{2}$ actions on $ \mathbb {C}^{n} $.


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Additional Information

Teruko Nagase
Affiliation: Osaka University of Economics, Osaka, 533, Japan
Email: JCF04243@niftyserve.or.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03779-3
PII: S 0002-9939(96)03779-3
Keywords: Algebraic $SL_{2}$-vector bundle, $SL_{2}$-module, transition function
Received by editor(s): June 1, 1995
Communicated by: Eric M. Friedlander
Article copyright: © Copyright 1996 American Mathematical Society