Superelliptic curve

In mathematics, a superelliptic curve is an algebraic curve defined by an equation of the form where is an integer and f is a polynomial of degree with coefficients in a field ; more precisely, it is the smooth projective curve whose function field defined by this equation.The case and is an elliptic curve, the case and is a hyperelliptic curve, and the case and is an example of a trigonal curve.

Superelliptic curve

In mathematics, a superelliptic curve is an algebraic curve defined by an equation of the form where is an integer and f is a polynomial of degree with coefficients in a field ; more precisely, it is the smooth projective curve whose function field defined by this equation.The case and is an elliptic curve, the case and is a hyperelliptic curve, and the case and is an example of a trigonal curve.