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Jacobians of linear systems on an algebraic variety

Published online by Cambridge University Press:  24 October 2008

D. Monk
D. Monk
Affiliation:
Trinity CollegeCambridge
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Extract

Let | Si | (i = 1, …, k) be k linear systems of hypersurfaces on an algebraic variety Vd, and let

The purpose of this note is to prove that the Jacobian of these systems is given by the equivalence

where Kh is Eger's operator, defined as follows:

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 2 , April 1956 , pp. 198 - 201
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

REFERENCES

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