On real algebraic vector bundles (Q1897991)
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scientific article; zbMATH DE number 795025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On real algebraic vector bundles |
scientific article; zbMATH DE number 795025 |
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On real algebraic vector bundles (English)
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11 September 1995
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The object of this paper is to prove the following theorem. Let \(X\) be an affine real algebraic variety and let \(\pi : E \to X\) be a real algebraic vector bundle over \(X\). Then, the vector bundle \((E, \pi)\) is strongly algebraic if and only if the real algebraic variety \(E\) is affine. The proof relies on a generalization, due to M. Artin, of a theorem of A. Weil on rational group laws.
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strongly algebraic vector bundle
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real algebraic variety
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real algebraic vector bundle
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rational group laws
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