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Complex vector bundles on real algebraic varieties of small dimension

Published online by Cambridge University Press:  17 April 2009

Wojciech Kucharz
Wojciech Kucharz
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131, United States of America.
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Abstract

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Let X be an affine real algebraic variety. In this paper, assuming that dim X ≤ 7 and that X satisfies some other reasonable conditions, we give a characterisation of those continuous complex vector bundles on X which are topologically isomorphic to algebraic complex vector bundles on X.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 345 - 349
Copyright
Copyright © Australian Mathematical Society 1988

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