Skip to main content

Value distribution of holomorphic maps

Part of the Lecture Notes in Mathematics book series (LNM,volume 155)

Keywords

  • Vector Bundle
  • Projective Space
  • Complex Manifold
  • Complex Vector Space
  • Holomorphic Vector Bundle

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections, Acta. Math. 114 (1965), 71–112.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. S. S. Chern, The integrated form of the first main theorem for complex analytic mappings in several complex variables, Ann. of Math. (2) 71 (1960), 536–551.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. —, Some formulae related to complex transgression, deRham Festband, to appear.

    Google Scholar 

  4. J. Hirschfelder, The first main theorem of value distribution in several variables, Invent. Math. 8 (1969), 1–33.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. —, On Wu's form of the first main theorem of value distribution, Proc. Amer. Math. Soc. 23 (1969), 548–554.

    MathSciNet  MATH  Google Scholar 

  6. H. Kneser, Zur Theorie der gebrochenen Funktionen mehrerer Veränderlicher, Jber. Deutsch. Math.-Verein. 48 (1938), 1–28.

    MATH  Google Scholar 

  7. H. I. Levine, A theorem on holomorphic mappings into complex projective space, Ann. of Math. (2) 71 (1960), 529–535.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. S. Ozaki and T. Higuchi, On the first main theorem on a finite manifold, Math. Z. 110 (1969), 319–334.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. W. Stoll, Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlichen. I, Acta Math. 90 (1953), 1–115; II, Acta Math. 92 (1954), 55–169.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. —, A general first main theorem of value distribution, Acta Math. 118 (1967), 111–197.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. —, About the value distribution of holomorphic maps into projective space, Acta Math. 123 (1969), 83–114.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. —, Value distribution of holomorphic maps into compact complex manifolds, Lecture notes, Springer-Verlag, Berlin-Heidelberg-New York, to appear.

    Google Scholar 

  13. H. Weyl and J. Weyl, Meromorphic functions and analytic curves, Ann. of Math. Study 13, Princeton University Press, 1943.

    Google Scholar 

  14. H. Wu, Remarks on the first main theorem of equidistribution theory. I, J. Differential Geometry 2 (1968), 197–202; II, J. Differential Geometry 3 (1969), 83–94; III, J. Differential Geometry 3 (1969), 369–384; IV, J. Differential Geometry, to appear.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1970 Springer-Verlag

About this paper

Cite this paper

Stoll, W. (1970). Value distribution of holomorphic maps. In: Horváth, J. (eds) Several Complex Variables I Maryland 1970. Lecture Notes in Mathematics, vol 155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060324

Download citation

  • DOI: https://doi.org/10.1007/BFb0060324

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05183-1

  • Online ISBN: 978-3-540-36344-6

  • eBook Packages: Springer Book Archive