Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Families of singular rational curves


Author: Stefan Kebekus
Journal: J. Algebraic Geom. 11 (2002), 245-256
DOI: https://doi.org/10.1090/S1056-3911-01-00308-3
Published electronically: November 27, 2001
MathSciNet review: 1874114
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Abstract | References | Additional Information

Abstract: Let $X$ 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.


References [Enhancements On Off] (What's this?)

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Additional Information

Stefan Kebekus
Affiliation: Institut für Mathematik, Universität Bayreuth, 95440 Bayreuth, Germany
MR Author ID: 637173
Email: stefan.kebekus@uni-bayreuth.de

Received by editor(s): June 5, 2000
Published electronically: November 27, 2001
Additional Notes: The author gratefully acknowledges support by a Forschungs- stipendium of the Deutsche Forschungsgemeinschaft.