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Zeuthen's Theorem


If there is a (nu,nu^') correspondence between two curves of curve genus p and p^' and the number of branch points properly counted are beta and beta^', then

 beta+2nu^'(p-1)=beta^'+2nu(p^'-1).

See also

Chasles-Cayley-Brill Formula

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References

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

Referenced on Wolfram|Alpha

Zeuthen's Theorem

Cite this as:

Weisstein, Eric W. "Zeuthen's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZeuthensTheorem.html

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