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Rosatti's Theorem

There is a one-to-one correspondence between the sets of equivalent correspondences (not of value 0) on an irreducible curve of Genus (Curve) $p$, and the rational Collineations of a projective space of $2p-1$ dimensions which leave invariant a space of $p-1$ dimensions. The number of linearly independent correspondences will be that of linearly independent Collineations.


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

© 1996-9 Eric W. Weisstein