Skip to main content
SpringerLink
Log in

Un théorème de prolongementL 2 de sections holomorphes d'un fibré hermitien

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Références

  • [A-V] Andreotti, A., Vesentini, E.: Carleman estimates for the Laplace-Beltrami equation on complex manifolds. Publ. Math., Inst. Hautes Étud. Sci.25, 313–362 (1965)

    Google Scholar 

  • [De1] Demailly, J.P.: Scindage holomorphe d'un morphisme de fibrés vectoriels semi-positifs avec estimationsL 2. In: Lelong, P., Skoda, H. (eds.) Seminaire Amiens 1980/81 et Colloque de Wimereux 1981. (Lects. Notes Math., vol. 919, pp. 77–107) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  • [De2] Demailly, J.P.: EstimationsL 2 pour l'opérateurd″ d'un fibré vectoriel semi-positif audessus d'une variété kählérienne complète. Ann. Sci. Ec. Norm. Supér15, 457–511 (1982)

    MATH  MathSciNet  Google Scholar 

  • [D-F] Donnelly, H., Fefferman, C.:L 2-cohomology and index theorem for the Bergman metric. Ann. Math.118, 593–618 (1983)

    Article  MathSciNet  Google Scholar 

  • [D-X] Donnelly, H., Xavier, F.: On the differential form spectrum of negatively curved Riemann manifolds. Am. Math. J.106, 169–185 (1984)

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  • [Hö] Hörmander, L.: An introduction to complex analysis in several variables. Princeton: Van Nostrand 1966

    MATH  Google Scholar 

  • [LP] Le Potier, J.: Annulation de la cohomologie à valeurs dans un fibré vectoriel holomorphe positif de rang quelconque. Math. Ann.218, 35–53 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  • [O1] Ohsawa, T.: Vanishing theorems on complete Kähler manifolds. Publ. Res. Inst. Math. Sci.,20, 21–38 (1984)

    MATH  MathSciNet  Google Scholar 

  • [O2] Ohsawa, T.: On the extension of holomorphic functions 2. Publ. Res. Inst. Math. Sci.24, 265–275 (1988)

    MATH  MathSciNet  Google Scholar 

  • [O-T] Ohsawa, T., Takegoshi, K.: On the extension ofL 2 holomorphic functions. Math. Z.195, 197–204 (1987)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut Fourier, Laboratoire de mathématiques, associé au CNRS, B.P. 74, F-38402, Saint-Martin-d'Hères, France

    Laurent Manivel

Authors
  1. Laurent Manivel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manivel, L. Un théorème de prolongementL 2 de sections holomorphes d'un fibré hermitien. Math Z 212, 107–122 (1993). https://doi.org/10.1007/BF02571643

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571643

Search

Navigation