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Value distribution of holomorphic maps

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Several Complex Variables I Maryland 1970

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

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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.

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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 

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John Horváth

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© 1970 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05183-1

  • Online ISBN: 978-3-540-36344-6

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