Lüroth quartic

id: l-roth-quartic-272-11669169
title: Lüroth quartic
text: 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.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/L%C3%BCroth_quartic
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date modified: 2024-03-10T12:18:21Z
main entity: {"identifier":"Q6711564","url":"https://www.wikidata.org/entity/Q6711564"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/55/Luroth_quartic.svg","width":800,"height":800}
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