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Original Articles

Projective Varieties Swept Out by Rational Normal Curves

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Pages 4257-4262 | Received 09 May 2007, Published online: 02 Dec 2008

REFERENCES

  • Araujo , C. ( 2006 ). Rational curves of minimal degree and characterizations of projective spaces . Math. Ann. 335 : 937 – 951 .
  • Cho , K. , Miyaoka , Y. , Shepherd-Barron , N. I. ( 2002 ). Characterization of projective n-space and applications to complex symplectic geometry . Adv. Stud. Pure Math. Soc. Japan 35 : 1 – 88 .
  • Ciliberto , C. , Miranda , R. ( 1998 ). Interpolations on curvilinear schemes . J. Algebra 203 ( 2 ): 677 – 678 .
  • Ciliberto , C. , Chiantini , L. ( 2002 ). Weakly defective varieties . Trans. Amer. Math. Soc. 354 ( 1 ): 151 – 178 .
  • Debarre , O. ( 2001 ). Higher-Dimensional Algebraic Geometry, Universitext . New York : Springer-Verlag .
  • González , S. , Mallavibarrena , R. ( 2003 ). Osculating degeneration of curves . Comm. Algebra 31 ( 8 ): 3829 – 3845 .
  • Hwang , J. M. ( 2001 ). Geometry of minimal rational curves on Fano manifolds . In: Vanishing Theorems and Effective Results in Algebraic Geometry . ICTP Lecture Notes Series Volume VI , pp. 335 – 393 .
  • Hwang , J. M. , Kebekus , S. ( 2005 ). Geometry of chains of minimal rational curves . J. Reine Angew. Math. 584 : 173 – 194 .
  • Ionescu , P. , Russo , F. ( 2007 ). Conic Connected Manifolds . Preprint. ArXiv:math. AG/0701885 .
  • Laksov , D. ( 1984 ). Wronskians and Plücker formulas for linear systems on curves . Ann. scient. Éc. Norm. Sup. 17 : 45 – 66 .
  • Le Barz , P. ( 1984 ). Platitude et non-platitude de certains sous-schémas de Hilb k (ℙ n ) . J. Reine Angew. Math. 348 : 116 – 134 .
  • Communicated by R. Piene.

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