Birationality of the tangent map for minimal rational curves
代数几何
2007-05-23 v1 复变函数
摘要
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.
引用
@article{arxiv.math/0304101,
title = {Birationality of the tangent map for minimal rational curves},
author = {Jun-Muk Hwang and Ngaiming Mok},
journal= {arXiv preprint arXiv:math/0304101},
year = {2007}
}
备注
AMS-tex, 14 pages, Dedicated to Yum-Tong Siu on his 60th birthday