J Austral Math Soc Ser A 47 pp430--437, 1989.

Sympletic Complex Bundles Over Real Algebraic Four-Folds

Wojciech Kucharz

Abstract

Let X be a compact affinte real algebraic variety of dimension 4. We compute the Witt group of sympletic bilinear forms over the ring of regular functions from X to C. The Witt group is expressed in terms of some subgroups of the cohomology groups H^2k(X, Z) for k = 1, 2.

1980 AMS Subject Classification (1985 Revision): 57R22, 19G12

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Authors

Wojciech Kucharz

Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131, U.S.A.