Skip to main content
Log in

Variétés des courbes projectives planes de degré et lieu singulier donnés

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliographie

  • [A-K] Altman, A., Kleiman, S.: Introduction to Grothendieck duality theorem. In: Lecture Notes in Mathematics, Vol. 146. Berlin, Heidelberg, New York: Springer, 1970

    Google Scholar 

  • [A-M] Alibert, D., Maltsiniotis, G.: Groupe fondamental du complémentaire d'une courbe à points doubles ordinaires. Bull. Soc. Math. France102, 335–351 (1974)

    Google Scholar 

  • [D-M] Deligne, P., Mumford, D.: The irreducibility of the space of curves of given genus. Publ. Math. I.H.E.S.36, 75–100 (1969)

    Google Scholar 

  • [FUL1] Fulton, W.: Algebraic curves. New York, Amsterdam: Benjamin 1969

    Google Scholar 

  • [FUL2] Fulton, W.: On the irreducibility of the moduli space of curves. Appendice à l'article de J. Harris et D. Mumford. Invent. Math.67, 87–88 (1982)

    Google Scholar 

  • [GRO] Grothendieck, A.: Théorème de dualité sur les faisceaux algébriques cohérents. Séminaire Bourbaki no 149 Secr. Math. I.H.P. Paris (1957)

  • [G-H] Griffiths, P., Harris, J.: Principles of algebraic geometry. New York, Chichester, Brisbane, Toronto: Wiley 1978

    Google Scholar 

  • [G-V] Greco, C., Valabrega P.: On the theory of adjoints. Proceedings of Copenhagen summer meeting in algebraic geometry 1978. In: Lecture Notes in Mathematics, Vol. 732, pp. 98–123. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  • [HAR] Hartshorne, R.: Algebraic geometry. In: Graduate Texts in Mathematics, Vol. 52. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  • [H-M] Harris, J., Mumford, D.: On the Kodaira dimension of the moduli space of curves. Invent. Math.67, 23–86 (1982)

    Google Scholar 

  • [KLE] Klein, F.: Über Riemann's theorie der algebraischen Funktionen. Leipzig: Teubner 1882

    Google Scholar 

  • [LIN] Lindner, M.: Über die Mannigfaltigkeit ebener Kurven mit Singularitäten. Arch. Math.28, 603–610 (1977)

    Google Scholar 

  • [MAT] Matlis, E.: 1 dimensionnal Cohen Macaulay rings. In: Lecture Notes in Mathematics, Vol 327. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  • [MUM] Mumford, D.: Introduction to algebraic geometry. Preliminary version of first 3 chapters

  • [ORE] Orecchia, F.: Points in generic position and conductors of curves with ordinary singularities. J. London Math. Soc.24, 85–96 (1981)

    Google Scholar 

  • [ROS] Rosenlicht, M.: Equivalence relations on algebraic curves. Ann. Math.,56, 169–191 (1952)

    Google Scholar 

  • [SAL] Salmon, G.: Higher plane curves. Third ed. New York: Chelsea

  • [SEV] Severi, F.: Vorlesungen über algebraische Geometrie. 1ère éd. Leipzig: Teubner 1921; réimprimé à New York: Johnson 1968

    Google Scholar 

  • [TAN1] Tannenbaum, A.: On the geometric genera of projective curves. Math. Ann.240, 213–221 (1979)

    Google Scholar 

  • [TAN2] Tannenbaum, A.: Families of algebraic curves with nodes. Compositio Math.41, 107–126 (1980)

    Google Scholar 

  • [TAN3] Tannenbaum, A.: Families of curves with nodes on K-3 surfaces. Math. Ann.260, 239–253 (1982)

    Google Scholar 

  • [WAH] Wahl, J.: Deformations of plane curves with nodes and cusps. Am. J. Math.96, 529–577 (1974)

    Google Scholar 

  • [WAL] Walker, R.: Algebraic curves. New York: Dover 1950

    Google Scholar 

  • [ZAR1] Zariski, O.: Algebraic surfaces, 2nd suppl. ed. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  • [ZAR2] Zariski, O.: Foundations of a general theory of equisingularity onr-dimensional algebroid and algebraic varieties of embedding dimensionr+1. Am. J. Math.101, 453–514 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giacinti-Diebolt, C. Variétés des courbes projectives planes de degré et lieu singulier donnés. Math. Ann. 266, 321–350 (1984). https://doi.org/10.1007/BF01475583

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01475583

Navigation