Document Zbl 0586.14005

On rational maps and deformations of quadric and cubic hypersurfaces. (English) Zbl 0586.14005

Boll. Unione Mat. Ital., VI. Ser., D, Algebra Geom. 2, No. 1, 205-217 (1983).

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

Cited in 1 Review

Cited in 1 Document

MSC:

14E05	Rational and birational maps
14J25	Special surfaces
14D15	Formal methods and deformations in algebraic geometry
14J30	\(3\)-folds

Keywords:

rational maps; specializations of hypersurfaces

Cite Review PDF