On the rationality of the moduli space of Lüroth quartics

DOI10.1007/s00208-011-0715-7zbMath1251.14009arXiv1003.4635OpenAlexW2040547857MaRDI QIDQ443952

Hans-Christian Graf von Bothmer, Christian Böhning

Publication date: 13 August 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4635

zbMATH Keywords

Plane curves

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Rationality questions in algebraic geometry (14E08)

Uses Software

• ClebschGordan
• rationality

Cites Work

• A Clebsch-Gordan formula for \(\text{SL}_3(\mathbb C)\) and applications to rationality
• On the hypersurface of Lüroth quartics
• Polar covariants of plane cubics and quartics
• Rationality of the moduli spaces of plane curves of sufficiently large degree
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