- Source: 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
Burkhardt quartic
Igusa quartic
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
Kata Kunci Pencarian:
- Quartic threefold
- Burkhardt quartic
- Rational variety
- Fano variety
- Calabi–Yau manifold
- List of things named after Felix Klein
- Segre cubic
- Homological mirror symmetry
- Quaternary cubic
- Birational geometry
