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A Generalisation of a Formula due to Schubert

Published online by Cambridge University Press:  20 January 2009

J. G. Brennan
J. G. Brennan
Affiliation:
Department of Mathematics, University College of Swansea
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Let there be given, on an algebraic curve C, of genus p, a linear series and an algebraic series of index v, both without fixed points. The number of groups of r + 1 points which are common to a set of and a set of has been shown by Schubert (1) to be

where d is the number of double points of .

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 11 , Issue 2 , November 1958 , pp. 79 - 82
Copyright
Copyright © Edinburgh Mathematical Society 1958

References

REFERENCES

(1) Baker, H. F., Principles of Geometry, vol. VI, Cambridge University Press, 1925, p. 37.Google Scholar
(2) Baker, H. F., Principles of Geometry, vol. VI, Cambridge University Press, 1925, pp. 8, 9.Google Scholar
(3) Baker, H. F., Principles of Geometry, vol. VI, Cambridge University Press, 1925, p. 10.Google Scholar