In algebraic geometry, a hyperelliptic curve is an algebraic curve given by an equation of the form
where f(x) is a polynomial of degree n > 4 with n distinct roots. A hyperelliptic function is a function from the function field of such a curve or possibly of the Jacobian variety on the curve, these being two concepts that are the same for the elliptic function case, but different in this case.
Read more about Hyperelliptic Curve: Genus of The Curve, Formulation and Choice of Model, Occurrence and Applications, Classification, Example, History
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“In philosophical inquiry, the human spirit, imitating the movement of the stars, must follow a curve which brings it back to its point of departure. To conclude is to close a circle.”
—Charles Baudelaire (1821–1867)