Lüroth quartic

In mathematics, a Lüroth quartic is a nonsingular quartic plane curve containing the 10 vertices of a complete pentalateral. They were introduced by Jacob Lüroth (1869). Morley (1919) showed that the Lüroth quartics form an open subset of a degree 54 hypersurface, called the Lüroth hypersurface, in the space P14 of all quartics. Böhning & von Bothmer (2011) proved that the moduli space of Lüroth quartics is rational.

This page was last edited on 16 May 2018, at 14:00.
Reference: https://en.wikipedia.org/wiki/L%C3%BCroth_quartic under CC BY-SA license.

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