Page 1 Next

Displaying 1 – 20 of 30

Showing per page

Local characterization of algebraic manifolds and characterization of components of the set S f

Zbigniew Jelonek (2000)

Annales Polonici Mathematici

We show that every n-dimensional smooth algebraic variety X can be covered by Zariski open subsets U i which are isomorphic to closed smooth hypersurfaces in n + 1 . As an application we show that forevery (pure) n-1-dimensional ℂ-uniruled variety X m there is a generically-finite (even quasi-finite) polynomial mapping f : n m such that X S f . This gives (together with [3]) a full characterization of irreducible components of the set S f for generically-finite polynomial mappings f : n m .

Currently displaying 1 – 20 of 30

Page 1 Next