Journal of Algebraic Geometry

Author(s): Stefan Kebekus
Journal: J. Algebraic Geom. 11 (2002), 245-256.
Posted: November 27, 2001
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Abstract: Let

be a projective variety which is covered by a family of rational curves of minimal degrees. We give a bound on the dimension of the subfamily of singular rational curves.

Among other applications, we will show that this yields a new characterization of the projective space in terms of rational curves.

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Stefan Kebekus
Affiliation: Institut für Mathematik, Universität Bayreuth, 95440 Bayreuth, Germany
Email: stefan.kebekus@uni-bayreuth.de

PII: S 1056-3911(01)00308-3
Received by editor(s): June 5, 2000
Posted: November 27, 2001
Additional Notes: The author gratefully acknowledges support by a Forschungs- stipendium of the Deutsche Forschungsgemeinschaft.

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