Are rational curves determined by tangent vectors?

Kebekus, Stefan, and Kovács, Sándor J.. "Are rational curves determined by tangent vectors?." Annales de l’institut Fourier 54.1 (2004): 53-79. <http://eudml.org/doc/116108>.

@article{Kebekus2004,
abstract = {Let $X$ 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 $X$ 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.},
affiliation = {Universität zu Köln, Mathematisches Institut, Weyertal 86--90, 50931 Köln (Allemagne); University of Washington, Department of mathematics, Box 354350, Seattle, WA 98195 (USA)},
author = {Kebekus, Stefan, Kovács, Sándor J.},
journal = {Annales de l’institut Fourier},
keywords = {Fano manifold; rational curve of minimal degree; dubbies},
language = {eng},
number = {1},
pages = {53-79},
publisher = {Association des Annales de l'Institut Fourier},
title = {Are rational curves determined by tangent vectors?},
url = {http://eudml.org/doc/116108},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Kebekus, Stefan
AU - Kovács, Sándor J.
TI - Are rational curves determined by tangent vectors?
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 1
SP - 53
EP - 79
AB - Let $X$ 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 $X$ 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.
LA - eng
KW - Fano manifold; rational curve of minimal degree; dubbies
UR - http://eudml.org/doc/116108
ER -