Curve Genus

One of the Plücker characteristics, defined by


where m is the class, n the order, delta the number of nodes, kappa the number of cusps, iota the number of stationary tangents (inflection points), and tau the number of bitangents.

See also

Riemann Curve Theorem

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Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 100, 1959.

Referenced on Wolfram|Alpha

Curve Genus

Cite this as:

Weisstein, Eric W. "Curve Genus." From MathWorld--A Wolfram Web Resource.

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