quartic threefold
In algebraic geometry, a quartic threefold is a degree 4 hypersurface of dimension 3 in 4-dimensional projective space.
{{harvtxt|Iskovskih|Manin|1971}} showed that all non-singular quartic threefolds are irrational, though some of them are unirational.
Examples
References
- {{Citation | last1=Iskovskih | first1=V. A. | last2=Manin | first2=Ju. I. | title=Three-dimensional quartics and counterexamples to the Lüroth problem | doi= 10.1070/SM1971v015n01ABEH001536 |mr=0291172 | year=1971 | journal=Matematicheskii Sbornik |series=Novaya Seriya | volume=86 | issue=1 | pages=140–166| bibcode=1971SbMat..15..141I }}
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