Birationality of the tangent map for minimal rational curves

Details Birationality of the tangent map for minimal rational curves Birationality of the tangent map for minimal rational curves

2003-04-07

arxiv.org/abs/math/0304101v1

Mathematics

Algebraic Geometry

AMS-tex, 14 pages, Dedicated to Yum-Tong Siu on his 60th birthday

Scientific paper

For a uniruled projective manifold, we prove that a general rational curve of minimal degree through a general point is uniquely determined by its tangent vector. As applications, among other things we give a new proof, using no Lie theory, of our earlier result that a holomorphic map from a rational homogeneous space of Picard number 1 onto a projective manifold different from the projective space must be a biholomorphic map.

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