Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

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

Author(s): 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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