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QUARTIC

Website: www.math.ucsd.edu/~funconf/SLIDES/sturmfels.pdf |

A quartic is an algebraic curve of degree 4.

Most of the remarkable quartics of this encyclopaedia are rational
(i.e. of genus zero), but a quartic can be:

- elliptic
(i.e. of genus 1, like the Cartesian curves, the plane spirics, the polyzomal curves, the conchals)

- of genus 2 (like the devil's curve)

- or of genus 3, when they are smooth (like the Klein quartic, the Plücker quartic, the Salmon quartic, or the Loriga quartic).

For more examples, see bicircular quartic.

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© Robert FERRÉOL 2017