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
Famous quotes containing the word curve:
“I have been photographing our toilet, that glossy enameled receptacle of extraordinary beauty.... Here was every sensuous curve of the “human figure divine” but minus the imperfections. Never did the Greeks reach a more significant consummation to their culture, and it somehow reminded me, in the glory of its chaste convulsions and in its swelling, sweeping, forward movement of finely progressing contours, of the Victory of Samothrace.”
—Edward Weston (1886–1958)