Skip to main content
Log in

Nevanlinna defect relations for singular divisors

  • Published:
Inventiones mathematicae Aims and scope

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.

References

  1. Carlson, J., Griffiths, P.: A defect relation for equidimensional holomorphic mappings between algebraic varieties. Ann. Math.95, 557–584 (1972)

    Google Scholar 

  2. Federer, H.: Geometric measure theory. New York: Springer 1969

    Google Scholar 

  3. Grauert, H., Remmert, R.: Plurisubharmonische Funktionen in komplexen Räumen. Math. Z.65, 175–194 (1956)

    Google Scholar 

  4. Green, M.: Holomorphic maps into ℙ n omitting hyperplanes. Trans. Am. Math. Soc.169, 89–103 (1972)

    Google Scholar 

  5. Griffiths, P., King, J.: Nevanlinna theory and holomorphic mappings between algebraic varieties. Acta Math.130, 145–220 (1973)

    Google Scholar 

  6. Harvey, R., Shiffman, B.: A characterization of holomorphic chains. Ann. Math.99, 553–587 (1974)

    Google Scholar 

  7. Hironaka, H.: Resolution of singularities of an algebraic variety over a field of characteristic zero, I, II. Ann. Math.79, 109–326 (1964)

    Google Scholar 

  8. Lelong, P.: Fonctions entières (n variables) et fonctions plurisousharmoniques d'ordre fini dans ℂn. J. Anal. Math.12, 365–407 (1964)

    Google Scholar 

  9. Nevanlinna, R.: Analytic functions. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  10. de Rham, G.: Variétés differentiables. Paris: Hermann 1960

    Google Scholar 

  11. Shiffman, B.: Extension of positive line bundles and meromorphic maps. Inventiones math.15, 332–347 (1972)

    Google Scholar 

  12. Shiffman, B.: Applications of geometric measure theory to value distribution theory for meromorphic maps. Value distribution theory, Part A pp. 63–95. New York: Marcel Dekker 1974

    Google Scholar 

  13. Stoll, W.: Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexen Veränderlichen (I), (II). Acta Math.90, 1–115 (1953) and92, 55–169 (1954)

    Google Scholar 

  14. Weil, A.: Variétés kählériennes. Paris: Hermann, 1971

    Google Scholar 

  15. Weyl, H.: Meromorphic functions and analytic curves. Princeton Univ. Press 1943

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by N.S.F. Grant GP-40931 and by a Sloan Fellowship.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shiffman, B. Nevanlinna defect relations for singular divisors. Invent Math 31, 155–182 (1976). https://doi.org/10.1007/BF01404113

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01404113

Navigation