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On limiting rational curves

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References

  1. Collino, A., Murre, J., and Welters, G.: On the family of conics lying on a quartic threefold. Rend. Sem. Mat. Univ Pol. Torino38, 151–181 (1980)

    MathSciNet  Google Scholar 

  2. Candelas, P., de la Ossa, X. C., Green, P. S., and Parkes, L.: A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory. Nuclear Phys. B359, 21–74 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ellingsrud, G. and Strømme, S.: The number of twisted cubic curves on the generic quintic threefold. Preprint (1991)

  4. Fulton, W.: Intersection theory. Springer-Verlag, New York (1984)

    MATH  Google Scholar 

  5. Gruson, L., Lazarsfeld, R., and Peskine, C.: On a theorem of Castelnuovo and the equations defining space curves. Invent. Math.,72, 491–506 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  6. Johnsen, T. and Kleiman, S.: Private Communication.

  7. Katz, S.: Degenerations of quintic threefolds and their lines. Duke Math. Jour.50, 1127–1135 (1983)

    Article  MATH  Google Scholar 

  8. Katz, S.: On the finiteness of rational curves on quintic threefolds. Comp. Math.60, 151–162 (1986)

    MATH  Google Scholar 

  9. Katz, S.: Iteration of multiple point formulas and applications to conics. Lecture Notes in Math.1311, 147–155

  10. Katz, S. and Strømme, S.: Schubert: a maple package for intersection theory. Available by anonymous ftp from ftp.math.okstate.edu, cd pub/schubert

  11. Lazarsfeld, R.: Excess intersection of divisors. Compositio Math.43, 281–296 (1981)

    MATH  MathSciNet  Google Scholar 

  12. Wu, X.: Chern classes and degenerations of hypersurfaces and their lines. Duke Math. Jour.67, 633–652 (1992)

    Article  MATH  Google Scholar 

  13. Wu, X.: Refined intersection products and limiting linear subspaces of hypersurfaces. Math. Ann.299, 415–433 (1994)

    Article  MATH  MathSciNet  Google Scholar 

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  1. Department of Mathematics, University of South Carolina, 29208, Columbia, SC, USA

    Xian Wu

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  1. Xian Wu
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This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990.

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Wu, X. On limiting rational curves. Manuscripta Math 85, 243–253 (1994). https://doi.org/10.1007/BF02568196

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  • DOI: https://doi.org/10.1007/BF02568196

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