On rational maps and deformations of quadric and cubic hypersurfaces. (English) Zbl 0586.14005
It is proved that smooth specializations of hypersurfaces of degree at most three in projective space of dimension at least four are again hypersurfaces.
Reviewer: S.A.Strømme
MSC:
14E05 | Rational and birational maps |
14J25 | Special surfaces |
14D15 | Formal methods and deformations in algebraic geometry |
14J30 | \(3\)-folds |