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Reducible Vector Bundles on a Quadric Surface

Published online by Cambridge University Press:  24 October 2008

R. L. E. Schwarzenberger
R. L. E. Schwarzenberger
Affiliation:
Department of Pure MathematicsUniversity of Liverpool
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Extract

Let k be an algebraically closed field, and Pn the protective space of dimension n defined over k. The quadric surface is the product variety Q = P1 × P1 and can be embedded as a primal in P3.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 2 , April 1962 , pp. 209 - 216
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Atiyah, M. FComplex fibre bundles and ruled surfaces. Proc. London Math. Soc. (3), 5 (1955), 407–434.CrossRefGoogle Scholar
(2)Atiyah, M. FVector bundles over an elliptic curve. Proc. London Math. Soc. (3), 7 (1957), 414–452.CrossRefGoogle Scholar
(3)Borel, A. and Serre, J.-P.Le théorème de Riemann–Roch. Bull. Soc. Math. France 86 (1958) 97–136.Google Scholar
(4)Schwarzenberger, R. L. E.Vector bundles on the projective plane. Proc. London Math. Soc. (3), 11 (1961), 623–640.CrossRefGoogle Scholar