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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. Morley 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. proved that the moduli space of Lüroth quartics is rational.

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  • 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. Morley 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. proved that the moduli space of Lüroth quartics is rational. (en)
  • Квартика Люрота (кривая четвёртой степени Люрота) — это несингулярная плоская кривая четвёртой степени, содержащая 10 вершин пятиугольной звезды (пентаграммы), не обязательно правильной. Квартики Люрота ввёл Якоб Люрот. (ru)
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  • Jacob Lüroth (en)
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  • Jacob (en)
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  • Lüroth (en)
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  • 1869 (xsd:integer)
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  • 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. Morley 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. proved that the moduli space of Lüroth quartics is rational. (en)
  • Квартика Люрота (кривая четвёртой степени Люрота) — это несингулярная плоская кривая четвёртой степени, содержащая 10 вершин пятиугольной звезды (пентаграммы), не обязательно правильной. Квартики Люрота ввёл Якоб Люрот. (ru)
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  • Lüroth quartic (en)
  • Квартика Люрота (ru)
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