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Unobstructed arithmetically Buchsbaum curves

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1389)

Keywords

  • Algebraic Geometry
  • Irreducible Component
  • General Plane
  • Maximal Rank
  • Hilbert Scheme

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References

  1. M. Amasaki. On the structure of Arithmetically Buchsbaum curves in ℙ3. Publ. RIMS 20 (1984) 793–837.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. G. Bolondi-J. Migliore. Classification of maximal rank curves in the liaison class L n . Math. Ann. 277 (1987) 585–603.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. G. Bolondi-J. Migliore. Buchsbaum liaison classes. Preprint, 1987.

    Google Scholar 

  4. M. C. Chang. Buchsbaum subvarieties of codimension 2 in ℙn. Preprint, 1987.

    Google Scholar 

  5. G. Ellingsrud. Sur le schéme de Hilbert des variétés de codimension 2 dans ℙe à Cône de Cohen-Macaulay. Ann. Scient. Éc. N. Sup. 2 (1975) 423–432.

    MathSciNet  MATH  Google Scholar 

  6. Ph. Ellia. D'autres composantes non réduites de Hilb ℙ3. Math. Ann. 277 (1987) 433–446.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Ph. Ellia-M. Fiorentini. Défaut de postulation et singularités du Schéme de Hilbert. Annali Univ. di Ferrara 30 (1984) 185–198.

    MathSciNet  MATH  Google Scholar 

  8. Ph. Ellia-M. Fiorentini. Courbes arithmetiquement Buchsbaum de l'espace projectif. Preprint, 1987.

    Google Scholar 

  9. Ph. Ellia-A. Hirschowitz. In preparation.

    Google Scholar 

  10. A. Geramita-J. Migliore. On the ideal of an Arithmetically Buchsbaum curve. To appear in J. Pure and Appl. Alg.

    Google Scholar 

  11. D. Mumford. Futher pathologies in algebraic geometry. Amer. J. Math. 89 (1962) 642–648.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. Kleppe. The Hilbert-flag scheme, its properties and its connection with the Hilbert scheme. Thèse, Oslo 1982.

    Google Scholar 

  13. J. Kleppe. Non reduced components of the Hilbert scheme of smooth space curves. Preprint, 1985.

    Google Scholar 

  14. J. Kleppe. To appear in the Proceedings of Cognola.

    Google Scholar 

  15. E. Sernesi. Un esempio di curva ostruita in ℙ3. Sem. di variabili Complesse, Bologna 1981, 223–231.

    Google Scholar 

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© 1989 Springer-Verlag

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Miró-Roig, R.M. (1989). Unobstructed arithmetically Buchsbaum curves. In: Ballico, E., Ciliberto, C. (eds) Algebraic Curves and Projective Geometry. Lecture Notes in Mathematics, vol 1389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085934

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  • DOI: https://doi.org/10.1007/BFb0085934

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51509-8

  • Online ISBN: 978-3-540-48188-1

  • eBook Packages: Springer Book Archive