Quartic threefold
In algebraic geometry, a quartic threefold is a degree 4 hypersurface of dimension 3 in 4-dimensional projective space. Iskovskih & Manin (1971) showed that all non-singular quartic threefolds are irrational, though some of them are unirational.
Examples
gollark: No, dehibernating.
gollark: If it's 10 seconds it sounds like it's just dehibernating.
gollark: VSCode, Terminator, Firefox all work okay for me.
gollark: I've found it fine.
gollark: Doesn't mean you can't care about boot time, Free and Open Source Software, privacy and not-randomly-breaking.
References
- Iskovskih, V. A.; Manin, Ju. I. (1971), "Three-dimensional quartics and counterexamples to the Lüroth problem", Matematicheskii Sbornik, Novaya Seriya, 86: 140–166, doi:10.1070/SM1971v015n01ABEH001536, MR 0291172
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