Abstract
Projective bundles and blowing ups
Highlights
When dim Z is dim X − dim B − 1, X is a projective space and B is a linear subspace in X
Let L be a linear subspace of dimension l in a projective space Pn
We consider the rational map πL : Pn Γ given by the linear projection from L to Γ, where Γ is a linear subspace of dimension n − l − 1 disjoint from L
Summary
Let L be a linear subspace of dimension l in a projective space Pn. We consider the rational map πL : Pn Γ given by the linear projection from L to Γ, where Γ is a linear subspace of dimension n − l − 1 disjoint from L. When dim Z is dim X − dim B − 1, X is a projective space and B is a linear subspace in X . If X is a projective space Pn and B is a curve, either n is 3 and B is a twisted cubic curve or n is an arbitrary integer and B is a line in Pn .
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