There is a one-to-one correspondence between the sets of equivalent correspondences (not of value 0) on an irreducible curve of Genus (Curve) , and the rational Collineations of a projective space of dimensions which leave invariant a space of dimensions. The number of linearly independent correspondences will be that of linearly independent Collineations.

**References**

Coolidge, J. L. *A Treatise on Algebraic Plane Curves.* New York: Dover, p. 339, 1959.

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1999-05-25