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Comparison theorems for conic bundles

Published online by Cambridge University Press:  24 October 2008

P. E. Newstead
P. E. Newstead
Affiliation:
University of Liverpool
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Extract

In (10), M. S. Narasimhan and S. Ramanan proved a theorem to the effect that a certain conic bundle associated with a non-singular quadratic complex does not come from a vector bundle ((10), proposition 8·1); a similar topological result was proved in (12). In the course of attempting to extend these results to the singular case, I found that I wanted to use some results on conic bundles which were not readily available in the literature. The object of this note is to give proofs of these results; the work on quadratic complexes is still in progress and the first part will appear shortly (13). A further application will appear in (14).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 1 , July 1981 , pp. 21 - 31
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

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