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: I fear that that would result in [DATA FILLED WITH BEES].
gollark: I may have to shut down the project.
gollark: Oh no, it must have triggered one of those consistency protection things, oops.
gollark: [REDACTED] agree, [REDACTED].
gollark: [REDACTED]

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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