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On the problem of enumerating twisted cubics

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Algebraic Geometry Sitges (Barcelona) 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1124))

Partially supported by the Norwegian Research Council for Science and the Humanities.

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References

  1. A.R. Alguneid, “Analytical degenerations of complete twisted cubics”, Proc. Cambridge Phil. Soc. 52 (1956), 202–208.

    Article  MathSciNet  MATH  Google Scholar 

  2. A.R. Alguneid, “A representation of six aspects of the twisted cubic on the Grassmannian of lines in S3”, Proc. Math. Phys. Soc. UAR 23 (1959), 25–32.

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  3. A. Bialynicki-Birula, “Some theorems on actions of algebraic group” Ann. of Math. 98 (1973), 480–497

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  4. C. De Concini and C. Procesi, “Complete symmetric varieties” Preprint, Roma 1982.

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  5. C. De Concini and C. Procesi, “Complete symmetric varieties II” Preprint, Roma 1983.

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  6. G. Ellingsrud and R. Piene, A compactification of the space of twisted cubics”. In preparation.

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  7. J. Harris, Curves in projective space Sém. de Math. Sup. Vol. 85, Montreal 1982.

    Google Scholar 

  8. R. Piene, “Degenerations of complete twisted cubics”. Progress in Math., Vol. 24 (Birkhäuser, 1982), 37–50.

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  9. R. Piene and M. Schlessinger, “The Hilbert scheme compactification of the space of twisted cubics” To appear in Amer. J. Math.

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  10. M. Schlessinger, “On rigid singularities” Rice Univ. Studies 59 (1973), 147–162.

    MathSciNet  MATH  Google Scholar 

  11. H. Schubert, Kalkül der abzählenden Geometrie. B.G. Teubner, Leipzing 1879. (New edition: Springer-Verlag, Berlin-Heildelberg-New York 1979).

    Chapter  Google Scholar 

  12. J. A. Todd, “On twisted cubic curves which satisfy twelve conditions”, Proc. Roy. Soc. London A1, 131 (1931), 286–306

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Authors
  1. Ragni Piene
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Eduard Casas-Alvero Gerald Welters Sebastian Xambó-Descamps

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© 1985 Springer-Verlag

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Piene, R. (1985). On the problem of enumerating twisted cubics. In: Casas-Alvero, E., Welters, G., Xambó-Descamps, S. (eds) Algebraic Geometry Sitges (Barcelona) 1983. Lecture Notes in Mathematics, vol 1124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075004

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  • DOI: https://doi.org/10.1007/BFb0075004

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15232-3

  • Online ISBN: 978-3-540-39643-7

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