Algebraic Curve
Algebraic Curve An algebraic curve over a field is an equation , where is a polynomial in and with coefficients in . A nonsingular algebraic curve is an algebraic curve over which has no singular points over . A point on an algebraic curve is simply a solution of the equation of the curve. A - rational point is a point on the curve, where and are in the field . The following table lists the names of algebraic curves of a given degree.