Skip to main content
SpringerLink
Log in

Sections planes et multisecantes pour les courbes gauches generiques principales

  • Conference paper
  • First Online:
Space Curves

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1266))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

Bibliographie

  1. E. ARBARELLO-M. CORNALBA: Su una congettura di Petri. Comment. Math. Helvetici 56 (1981) 1–38.

    Article  MathSciNet  MATH  Google Scholar 

  2. E. ARBARELLO-M. CORNALBA-P. GRIFFITHS-J. HARRIS: Topics in Algebraic Curve Theory.

    Google Scholar 

  3. M. ARTIN: Versal deformations and algebraic stacks. Invent. Math. 27 (1974) 165–189.

    Article  MathSciNet  MATH  Google Scholar 

  4. E. BALLICO-Ph. ELLIA: Beyond the maximal rank conjecture for curves in ℙ3. Dans ce volume.

    Google Scholar 

  5. E. BALLICO-A. HEFEZ: On the Galois group associated to generically etale morphisms. Preprint

    Google Scholar 

  6. W. BARTH-A. VAN DE VEN: A decomposability criterion for algebraic 2-bundles in projective spaces, Invent. Math. 25 (1974) 91–106.

    Article  MathSciNet  MATH  Google Scholar 

  7. A. BEAUVILLE: Diviseurs speciaux et intersection de cycles dans la Jacobienne d'une courbe algébrique. In: Enumerative Geometry and Classical Algebraic Geometry. Progress in Math. 24 (1982) 133–142.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. BINGENER: Appendice à [jBH2].

    Google Scholar 

  9. J.M. BOARDMAN: Singularities of differentiable maps. Publ. IHES 33 (1967) 21–57.

    Article  MathSciNet  MATH  Google Scholar 

  10. G. BOLONDI: Arithmetically normal sheaves. A paraître Bull. SMF.

    Google Scholar 

  11. J. BRIANCON: Description de HilbnC{x,y}. Invent. Math. 41 (1977) 45–89.

    Article  MathSciNet  MATH  Google Scholar 

  12. J. BRUN: Les fibrés de rang deux sur ℙ2 et leurs sections. Bull. S.M.F. 108 (1980) 457–473.

    MathSciNet  MATH  Google Scholar 

  13. J. BRUN-A. HIRSCHOWITZ: Droites de saut des fibrés stables de rang élevé sur ℙ2. Math. Zeit. 181 (1982) 171–178.

    Article  MathSciNet  MATH  Google Scholar 

  14. J. BRUN-A. HIRSCHOWITZ: Variété des droites sauteuses du fibré instanton général. Compos. Math. 53 (1984) 325–336.

    MathSciNet  MATH  Google Scholar 

  15. J. BRUN-A. HIRSCHOWITZ: Le problème de Brill-Noether pour les idéaux de ℙ2. A paraître Ann. ENS Paris.

    Google Scholar 

  16. J. BRUN-A. HIRSCHOWITZ: Le problème de Brill-Noether pour les fibrés semi-stables de rang deux sur ℙ2. En préparation.

    Google Scholar 

  17. J. BRUN-A. HIRSCHOWITZ: Restrictions planes du fibré instanton général. En préparation.

    Google Scholar 

  18. L. EIN: On Hilbert Schemes of smooth space curves. A paraître dans Annales ENS, Paris.

    Google Scholar 

  19. L. EIN: The irreducibility of the Hilbert Scheme of Smooth Space Curves. Preprint Chicago 1986.

    Google Scholar 

  20. D. EISENBUD-J. HARRIS: Divisors on general curves and cuspidal rational curves. Inv. Math. 74 (1983) 371–418.

    Article  MathSciNet  MATH  Google Scholar 

  21. D. EISENBUD-A. VAN de VEN: On the normal bundle of smooth rational space curves. Math. Ann. 256 (1981) 453–463.

    Article  MathSciNet  MATH  Google Scholar 

  22. D. EISENBUD-A. VAN de VEN: The irreducibility of the space of rational space curves with given degree and normal bundle. Invent. Math. 67 (1982) 89–100.

    Article  MathSciNet  MATH  Google Scholar 

  23. G. ELENCWAJG-P. LE BARZ: Détermination de l'anneau de Chow de Hilb3 ℙ2. CRAS 301 (1985) 635–638.

    MATH  Google Scholar 

  24. Ph. ELLIA: Exemples de courbes de ℙ3 à fibré normal semi-stable, stable. Math. Ann. 264 (1983) 389–396.

    Article  MathSciNet  MATH  Google Scholar 

  25. G. ELLINGSRUD-A. HIRSCHOWITZ: Sur le fibré normal des courbes gauches. CRAS 299 (1984) 245–248.

    MathSciNet  MATH  Google Scholar 

  26. G. ELLINGSRUD-A. HIRSCHOWITZ: Sur le fibré normal des courbes gauches. En préparation.

    Google Scholar 

  27. G. ELLINGSRUD-S.A. STROMME: On the homology of the Hilbert Scheme of points in the plane. Invent. Math. (198 ).

    Google Scholar 

  28. G. ELLINGSRUD-S.A. STROMME: On the Chow ring of Hilb3 ℙ2. Rocca di Papa 1985.

    Google Scholar 

  29. W. FULTON: Intersection theory; Springer Verlag (1984).

    Google Scholar 

  30. F. GHIONE: Un problème du type Brill-Noether pour les fibrés vectoriels, in Algebraic Geometry, Open Problems, Lect. Notes in Math. 997 (1983) 197–209.

    Article  MathSciNet  MATH  Google Scholar 

  31. F. GHIONE: La conjecture de Brill-Noether pour les surfaces réglées. Proceedings Bucharest 1980, Teubner-Text zur Math. 40, (1981) 63–79.

    MathSciNet  MATH  Google Scholar 

  32. F. GHIONE-G. SACCHIERO: Normal bundles of rational curves. Manuscr. Math. 33 (1980) 111–128.

    Article  MathSciNet  MATH  Google Scholar 

  33. D. GIESEKER: Special divisors and stable curves. Invent. Math. 66 (1982) 251–275.

    Article  MathSciNet  MATH  Google Scholar 

  34. J.M. GRANGER: Géométrie des schémas de Hilbert ponctuels. Mémoires Soc. math. de France no8 (1983).

    Google Scholar 

  35. Ph. GRIFFITHS-J. HARRIS: Principles of Algebraic Geometry. Wiley and Sons (1978).

    Google Scholar 

  36. L. GRUSON-Ch. PESKINE: Genre des courbes de l'espace projectif I. In Algebraic Geometry. Tromso 1977, L.N. in Math. 687 Springer Verlag (1978) 31–59.

    MathSciNet  MATH  Google Scholar 

  37. L. GRUSON-Ch. PESKINE: Genre des courbes de l'espace projectif II. Annales Scient. E.N.S. 15 (1982) 401–418.

    MathSciNet  MATH  Google Scholar 

  38. L. GRUSON-Ch. PESKINE: Courbes de l'espace projectif: variétés de sécantes. In: Enumerative and Algebraic Geometry. Nice (1981). Prog. in Math. 24 (1982) 1–31.

    Article  MathSciNet  MATH  Google Scholar 

  39. G. HALPHEN: Mémoire sur la classification des courbes gauches algébriques, J. Ec. Polytechn. 52 (1982) 1–200.

    Google Scholar 

  40. J. HARRIS: Curves in Projective Space. Sem. Math. Sup. (1982) Presses Univ. Montréal.

    Google Scholar 

  41. J. HARRIS: On the Kodaira dimension of the moduli space of curves, II. The even-genus case. Invent. Math. 75 (1984) 437–466.

    Article  MathSciNet  MATH  Google Scholar 

  42. J. HARRIS: The genus of space curves. Math. Ann. 249 (1980) 191–204.

    Article  MathSciNet  MATH  Google Scholar 

  43. J. HARRIS: Galois groups of enumerative problems. Duke Math. J. 46 (1979) 685–724.

    Article  MathSciNet  MATH  Google Scholar 

  44. J. HARRIS-D. MUMFORD: On the Kodaira dimension of the moduli space of curves. Invent. Math. 67 (1982) 23–86.

    Article  MathSciNet  MATH  Google Scholar 

  45. R. HARTSHORNE: Classification of algebraic space curves. In vector bundles and differential equations (Nice 1979) Prog. in Math. 7 Birkhauser (1980) 83–112.

    MathSciNet  Google Scholar 

  46. R. HARTSHORNE: Algebraic Geometry. Graduate Texts in Math. 52, Springer-Verlag, New York (1977).

    MATH  Google Scholar 

  47. R. HARTSHORNE: Classification of algebraic curves. Bowdoin 1985.

    Google Scholar 

  48. R. HARTSHORNE: Stable reflexive sheaves III. Preprint Berkeley 1986.

    Google Scholar 

  49. R. HARTSHORNE-A. HIRSCHOWITZ: Smoothing Algebraic Space Curves, in Algebraic Geometry. Sitges 1983, Lecture Notes in Math. 1124 (1985) 98–131.

    Article  MathSciNet  MATH  Google Scholar 

  50. R. HARTSHORNE-A. HIRSCHOWITZ: Nouvelles courbes de bon genre. Preprint Nice 1986.

    Google Scholar 

  51. R. HARTSHORNE-A. HIRSCHOWITZ: Droites en position générale dans l'espace projectif in "Algebraic geometry", Proc. La Rabida 1981, Springer Lecture Notes in Math. 961 Springer Verlag (1982) 169–189.

    Google Scholar 

  52. R. HARTSHORNE-A. HIRSCHOWITZ: Cohomology of a general instanton bundle. Ann. Scient. Ec. Norm. Sup. Paris 15 (1982) 365–390.

    MathSciNet  MATH  Google Scholar 

  53. R. HERNANDEZ-R. MALLAVIBARRENA-I. SOLS: An algebraic proof of the uniform position principle. Preprint Madrid 1985.

    Google Scholar 

  54. A. HIRSCHOWITZ: La méthode d'Horace pour les fibrés vectoriels. En préparation.

    Google Scholar 

  55. A. HIRSCHOWITZ: Rank techniques and jump stratifications. Algebraic Geometry. Bombay (1984). A paraître.

    Google Scholar 

  56. A. HIRSCHOWITZ: Le groupe de Chow équivariant. CRAS 298 (1984) 87–89.

    MathSciNet  MATH  Google Scholar 

  57. A. HIRSCHOWITZ: Sur la postulation générique des courbes rationnelles. Acta Math. 146 (1981) 209–230.

    Article  MathSciNet  MATH  Google Scholar 

  58. A. HIRSCHOWITZ: La méthode d'Horace pour l'interpolation à plusieurs variables. Manusc. Math. 50 (1985) 337–388.

    Article  MathSciNet  MATH  Google Scholar 

  59. A. HIRSCHOWITZ: Problèmes de Brill-Noether en rang supérieur. En souffrance.

    Google Scholar 

  60. A. HIRSCHOWITZ: Existence de faiscaux réflexifs de rang deux sur ℙ3 à bonne cohomologie. Preprint, Nice 1986.

    Google Scholar 

  61. E. HORIKAWA: On deformations of holomorphic maps, I. J. Math. Soc. Japan 25, 372–396 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  62. M. IDA: On the homogeneous ideal of the generic unions of lines in ℙ3. Thèse Nice 1986.

    Google Scholar 

  63. S.L. KLEIMAN: Enumerative theory of singularities. In: Real and Complex singularities, Oslo 1976. Sijthoff and Noordhooff (1977) 297–396.

    Google Scholar 

  64. J. KLEPPE: Hilbert-flag schemes. Preprint. Oslo 1981.

    Google Scholar 

  65. R. LAZARSFELD-P. RAO: Linkage of general curves of large degree. In: Algebraic Geometry. Open Problems, Ravello 1982. L.N. in Math. 997 (1983).

    Google Scholar 

  66. P. LE BARZ: Formules multisécantes pour les courbes gauches quelconques. In: Enumerative Geometry and Classical Algebraic Geometry. Progress in Math. 24 (1982) 133–142.

    MATH  Google Scholar 

  67. P. LE BARZ: Courbes générales de ℙ3. Math. Scand. 44 (1979) 243–277.

    MathSciNet  MATH  Google Scholar 

  68. J. MATHER: Stable map-germs and algebraic geometry, Manifolds, Amsterdam 1970, L.N. in Math. 197 (1971) 176–193.

    MathSciNet  Google Scholar 

  69. J. MATHER: Generic Projections, Annals of Math. 98 (1973) 226–245.

    Article  MathSciNet  MATH  Google Scholar 

  70. N. MESTRANO: Points rationnels des courbes génériques de ℙ3, I. Bull. Soc. Math. France 113 (1985) 295–304.

    MathSciNet  MATH  Google Scholar 

  71. N. MESTRANO: Conjectures de Franchetta plongées. CRAS 301 (1985) 503–505.

    MathSciNet  MATH  Google Scholar 

  72. D. PERRIN: Courbes passant par m points généraux de ℙ3. Thèse Orsay (1986).

    Google Scholar 

  73. E. PETIT: Fibrés de rang trois sur ℙ2 à cohomologie naturelle. Thèse ee cycle, Nice 1986.

    Google Scholar 

  74. I. PORTEOUS: Simple singularities of maps. In Proc. Liverpool Singularities Symp. I, Lect. Notes in Math. Springer-Verlag 192 (1971) 286–312.

    Article  MathSciNet  MATH  Google Scholar 

  75. P. RAO: A family of vector bundles on ℙ3, dans ce volume.

    Google Scholar 

  76. N. SUNDARAM: Special divisors and vector bundles. Preprint TIFR Bombay 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Nice, Parc Valrose, 06034, Nice Cedex, France

    André Hirschowitz

Authors
  1. André Hirschowitz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Franco Ghione Christian Peskine Edoardo Sernesi

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Hirschowitz, A. (1981). Sections planes et multisecantes pour les courbes gauches generiques principales. In: Ghione, F., Peskine, C., Sernesi, E. (eds) Space Curves. Lecture Notes in Mathematics, vol 1266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078182

Download citation

  • DOI: https://doi.org/10.1007/BFb0078182

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18020-3

  • Online ISBN: 978-3-540-47708-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation