Stable real algebraic vector bundles over a Klein bottle

Bhosle, Usha; Biswas, Indranil

doi:10.1090/S0002-9947-08-04564-9

Stable real algebraic vector bundles over a Klein bottle
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by Usha N. Bhosle and Indranil Biswas PDF

Trans. Amer. Math. Soc. 360 (2008), 4569-4595 Request permission

Abstract:

Let $X$ be a geometrically connected smooth projective curve of genus one, defined over the field of real numbers, such that $X$ does not have any real points. We classify the isomorphism classes of all stable real algebraic vector bundles over $X$.

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