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Zeuthen's Theorem

If there is a $(\nu,\nu')$ correspondence between two curves of Genus $p$ and $p'$ and the number of Branch Points properly counted are $\beta$ and $\beta'$, then


See also Chasles-Cayley-Brill Formula


Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 246, 1959.

© 1996-9 Eric W. Weisstein