On the Normal Bundles of Smooth Rational Spaces Curves.
A. van de Ven, D. Eisenbud (1981)
Mathematische Annalen
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Let be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.
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