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Vector bundles over real algebraic varieties (1989)

Bochnak, J. ; Buchner, M. ; Kucharz, W.

Springer

K-Theory 3 (1989), S. 271-298

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ISSN: 1573-0514

Keywords: Algebraic vector bundles ; real algebraic varieties ; Grothendieck group ; ring of regular functions ; nonsingular complete intersection

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The object of this paper is to study continuous vector bundles, over real algebraic varieties, admitting an algebraic structure. For large classes of real varieties, we obtain explicit information concerning the Grothendieck group of algebraic vector bundles. We show that in many cases this group is small compared to the corresponding group of continuous vector bundles. These results are used elsewhere to study the geometry of real algebraic varieties.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00533373

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