constructed as a curve in . Their genera can be summarized in the table and for , this is See also Classical algebraic geometry Acnode Bézout's theorem Cramer's theorem (algebraic curves) Crunode Curve Curve sketching Jacobian variety Klein quartic List of curves Hilbert's sixteenth problem Cubic plane curve Hyperelliptic curve Modern algebraic geometry Birational geometry Conic section Elliptic curve Fractional ideal Function field of an algebraic variety Function field (scheme theory) Genus (mathematics) Polynomial lemniscate Quartic plane curve Rational normal curve Riemann–Roch theorem for algebraic curves Weber's theorem Geometry of Riemann surfaces Riemann–Hurwitz formula Riemann–Roch theorem for Riemann surfaces Riemann surface Notes References — gained the 1886 Academy prize