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On the multiplicative structure of sections of vector bundles on an algebraic curve

Published online by Cambridge University Press:  24 October 2008

E. Ballico
E. Ballico
Affiliation:
Department of Mathematics, University of Trento, 38050 Povo (TN), Italy e-mail: ballico@science.unitn.it
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Abstract

Here we study (in a more general setting) the following problem. Let C be a smooth projective curve, E and F vector bundles on C and V ⊆ H0 (C, E) (resp. W ⊆ H0 (C, F)) vector spaces generically spanning E (resp. F); find lower bounds for the dimension of the image of the multiplication map V ⊗ W → H0 (C, E ⊗ F) generalizing the case rank(E) = rank(F) = 1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 4 , November 1996 , pp. 643 - 645
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

REFERENCES

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