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Normal bundles in flag bundles

Published online by Cambridge University Press:  24 October 2008

Samuel A. Ilori
Samuel A. Ilori
Affiliation:
University of Ibadan, Nigeria
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Abstract

Let i: Y ↪ X be an inclusion map of non-singular irreducible algebraic quasi-projective varieties defined over an algebraically closed field. Let E be an algebraic vector bundle over X and H be a sub-bundle of the induced bundle, i*E. If j:F(H) ↪ F(E) is the corresponding inclusion map of (incomplete) flag bundles, then we derive the normal bundle N(F(H), F(E)) in terms of the bundles H and E, the tangent bundles of Y and X as well as the tautological bundles over F(H).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 3 , November 1981 , pp. 395 - 402
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

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