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On complex vector bundles on rational threefolds

Published online by Cambridge University Press:  24 October 2008

Constantin BẮnicẮ  and
Mihai Putinar
Constantin BẮnicẮ
Affiliation:
Department of Mathematics, Increst, Bucharest, Romania
Mihai Putinar
Affiliation:
Department of Mathematics, Increst, Bucharest, Romania
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Extract

It is known [14] that every topological complex vector bundle on a smooth rational surface admits an algebraic structure. In [10] one constructs algebraic vector bundles of rank 2 on with arbitrary Chern classes c1, c2 subject to the necessary topological condition c1 c2 = 0 (mod 2). However, in dimensions greater than 2 the Chern classes don't determine the topological type of a vector bundle. In [2] one classifies the topological complex vector bundles of rank 2 on and one proves that any such bundle admits an algebraic structure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 279 - 288
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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