Skip to main content
SpringerLink
Log in

Liaison of families of subschemes in Pn

  • Conference paper
  • First Online:
Book cover Algebraic Curves and Projective Geometry

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Altman, A. and Kleiman, S., Introduction to Grothendieck Duality Theory. Springer Lecture Notes 146 (1970).

    Google Scholar 

  2. André, M., Méthode Simpliciale en Algèbre Homologique et Algèbre Commutative. Springer Lecture Notes 32 (1967).

    Google Scholar 

  3. Bolondi, G., Irreducible families of curves with fixed cohomology. Preprint, Camerino, 1987.

    Google Scholar 

  4. Bolondi, G. and Migliore J., Classification of maximal rank curves in the liaison class Ln", (to appear in Math.Ann)

    Google Scholar 

  5. Bolondi and Migliore, Buchsbaum liaison classes. Preprint 1987, Trento. Italy

    Google Scholar 

  6. Bolondi and Migliore, The Lazardsfeld — Rao and Zeuten problems for Buchsbaum curves, Preprint 1987, Trento.

    Google Scholar 

  7. Buchweitz.R.O: Contributions à la theorie des singularités. Univ. Paris VI (Thesis)

    Google Scholar 

  8. Buchweitz.R.O. and Ulrich B., Homological properties which are invariant under linkage. Preprint 1983

    Google Scholar 

  9. Brun J. et Hirschowitz A. Le problèm de Brill Noether pour les idéaux de P2. Ann.scient.éc.norm.sup., 4.ser., t.20,1987, 171–200

    MathSciNet  MATH  Google Scholar 

  10. Ellingsrud, G., Sur le schéma de Hilbert des variéteé de codimension 2 dans Pe a cône de Cohen-Macaulay. Ann.scient.éc.norm.sup., 4.sér., t.8 (1975), 423–432.

    MathSciNet  MATH  Google Scholar 

  11. Ellia Ph.,Fiorentini M.,Défaut de postulation et singularités du schéma de Hilbert. Ann.Univ.Ferrara Nuova Ser.Sez.VII, 30, (1984),185–198

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  13. Grothendieck, A. And Dieudonné, J., Éléments de Géométrie Algébrique. Publ.Math. I.H.E.S. 4 (1960), 8 (1961), 11 (1961), 17 (1963), 20 (1964), 24 (1965), 28 (1966), 32 81967).

    Google Scholar 

  14. Gruson, L. and Peskine, C., Genre des courbes de l'espace projectif. Proc. Tromsø, Conference on alg. geom. (1977),32–59.

    Google Scholar 

  15. Hartshorne, R., Algebraic Geometry. Springer Verlag (1977).

    Google Scholar 

  16. Hartshorne R. and Hirschowitz A., Smoothing Algebraic Space Curves, Proc.Alg.Geom.,Sitges 1983, Springer Lecture Notes 1124, 98–131

    Google Scholar 

  17. Halphen,G., Mémoire sur la classification des courbes gauches algébriques. Oeuvres completes t.III.

    Google Scholar 

  18. Kleppe, J.O., Deformations of Graded Algebras. Math.Scand. 45 (1979), 205–231.

    MathSciNet  MATH  Google Scholar 

  19. Kleppe, J.O. The Hilbert-flag scheme, its properties and its connection with the Hilbert scheme. Applications to curves in 3-space. Preprint Ser.(1981), Univ. of Oslo (part of thesis).

    Google Scholar 

  20. Kleppe. J.O., Non-reduced components of the Hilbert scheme of smooth space curves, Proc., Rocca di Papa 1985. Lecture Notes in Math, Springer-Verlag, 1266

    Google Scholar 

  21. Kleppe, J.O., Singularities in Codimension 1 of the Hilbert scheme. An example. Preprint 1983, College of Engineering, Oslo

    Google Scholar 

  22. Kleiman, S.L. and Landolfi, J., Geometry and Deformation of Special Schubert varieties. Comp.Math.23, Fasc. 4 (1971), 407–434.

    MathSciNet  MATH  Google Scholar 

  23. Kustin A.R. and Miller M. Deformation and linkage of Gorenstein algebras, Trans. Amer. Math. Soc., Vol 284, No 2, 1984, 501–534.

    Article  MathSciNet  MATH  Google Scholar 

  24. Laudal, O.A., Formal Moduli of Algebraic Structures. Springer Lecture Notes 754 (1979).

    Google Scholar 

  25. Laudal, O.A., A generalized trisecant lemma. Proc. Tromsø, Conference on alg. geometry (1977), 112–149.

    Google Scholar 

  26. Lichtenbaum, S. and Schlessinger M., The cotangent complex of a morphism. Trans. Amer. Math. Soc. 128 (1967), 41–70.

    Article  MathSciNet  MATH  Google Scholar 

  27. Mumford, D,. Lectures on Curves on an Algebraic Surface. Annals of Math. Studies 59, Princeton Univ. Press (1966).

    Google Scholar 

  28. Mumford, D., Further Pathologies in Algebraic Geometry. Amer. J. Math. 84 (1962), 642–648.

    Article  MathSciNet  MATH  Google Scholar 

  29. Noether, M., Zur Grundlegung der Theorie der algebraischen Raumcurven. J. Reine u. Angew. Math. (1882), 271–318 (or Steinerische Preisschrift, Verlag d. König. Akad. D. Wiss., Berlin (1883)).

    Google Scholar 

  30. Perrin D. Courbes passant par m point généraux de P3. (These). Memoire de la Soc. Math de France n 28/29 Supplement an Bull S.M.F., Tome 115, 1987, Fase 3.

    Google Scholar 

  31. Peskine, C. and Szpiro, L., Liaison des variétés algébriques. Inv. Math.26 (1974), 271–302.

    Article  MathSciNet  MATH  Google Scholar 

  32. Rao, P. Liaison Among curves in P. Inv. Math. 1979, 205–217

    Google Scholar 

  33. Lazardsfeld R. and Rao P., Linkage of General Curves of Large Degree, Proc.Ravello 1982, Springer Lecture Notes, 997

    Google Scholar 

  34. Schenzel P., Notes on Liaison and Duality, J.Math of Kyoto Univ. 22 (1982), 485–498

    MathSciNet  MATH  Google Scholar 

  35. Schlessinger, M., Functor of Artin rings, Trans Amer. Math. Soc. 130 (1968), 208–222.

    Article  MathSciNet  MATH  Google Scholar 

  36. Sernesi, E., Un esempio di curve obstruita in P3 in "Seminario di variabili complesse, Bologna, 1981", CNR, Università degli Studi di Bologna (1982), 223–231

    Google Scholar 

  37. Grothendieck, A., Cohomologie locale des faisceaux cohérents et Theoremes de Lefschetz locaux et globaux. North-Holland, Amsterdam (1968).

    MATH  Google Scholar 

  38. Grothendieck, A., Raynaud, M. and Rim, D.S., Groupes de Monodromie en Géométrie Algébrique. Springer Lecture Notes 288 (1972) and 340(1973).

    Google Scholar 

  39. Ulrich B,Liaison and deformations, J. Pure and Applied Alg.39 (1986), 165–175, North-Holland

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Oslo College of Engineering, Cort Adelersgt 30, Oslo, Norway

    Jan O. Kleppe

Authors
  1. Jan O. Kleppe
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Edoardo Ballico Ciro Ciliberto

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Kleppe, J.O. (1989). Liaison of families of subschemes in Pn. 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/BFb0085930

Download citation

  • DOI: https://doi.org/10.1007/BFb0085930

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51509-8

  • Online ISBN: 978-3-540-48188-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation