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Multivariable value distribution theory. Application to holomorphic curves

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References

  1. A. A. Gol'dberg, “Some questions in the value distribution theory,” In:H. Wittich, Contemporary Studies on Single Valued Analytic Functions [Russian translation], Fizmatgiz, Moscow (1960), pp. 263–300.

    Google Scholar 

  2. A. A. Gol'dberg and I. V. Ostrovskiy,Value Distribution of Meromorphic Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. P. Griffiths and J. King, “Nevalinna theory and holomorphic mappings between algebraic varieties,”Acta Math. 130, No. 3-4, 145–220.

  4. I. M. Dektyarev, “Averaged defects of holomorphic mappings”, In:Multidimensional Complex Analysis [in Russian], Inst. Phys. Siberian Dept. Academy of Sciences USSR, Krasnoyarsk (1985), pp. 64–77.

    Google Scholar 

  5. I. M. Dektyarev, “A remark on the structure of the set of defective divisors,”Dokl. Akad. Nauk SSSR.292, No. 4, 800–803 (1987).

    MATH  MathSciNet  Google Scholar 

  6. I. M. Dektyarev, “Capacity and defective divisors,”Funkts. Anal. Prilozh.,22, No. 1, 64065 (1988).

    MathSciNet  Google Scholar 

  7. I. M. Dektyarev, “Curves of finite degree and divisors with maximal defect,”Dokl. Akad. Nauks SSSR.306, No. 4, 781–784 (1989).

    MATH  Google Scholar 

  8. I. M. Dektyarev, “Averaged defects of holomorphic curves and divisors with redundant defects”,Usp. Mat. Nauk. 44, No. 1 (265), 195–196 (1989).

    MATH  MathSciNet  Google Scholar 

  9. I. M. Dektyarev, “A new notion of defect for holomorphic curves,”Dokl. Ross. Akad. Nauk,323, No. 3. 406–409 (1992).

    MATH  MathSciNet  Google Scholar 

  10. Y. I. Lyubich, “On the existence in the large of fundamental solutions to linear elliptic equations of second order”,Mat. Sb.,57, 45–58 (1962).

    MATH  MathSciNet  Google Scholar 

  11. J. Milnor and A. Wallace,Differential Topology [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  12. K. Miranda,Elliptic Partial Differential Equations [Russian translation], Inostr. Lit., Moscow (1957).

    Google Scholar 

  13. Y. I. Savchuk, “The structure of the set of defective vectors of entire and analytic curves of finite degree,”Ukr. Mat. Zh.,37, No. 5, 609–615 (1985).

    MATH  MathSciNet  Google Scholar 

  14. W. K. Hayman,Meromorphic Functions, Clarendon Press, Oxford (1964).

    Google Scholar 

  15. L. Hörmander,Linear Partial Differential Operators, Springer (1965).

  16. V. Hodge and D. Pido,Methods of Algebraic Geometry, Vol. 1, [Russian translation], Inostr. Lit., Moscow (1954).

    Google Scholar 

  17. B. V. Shabat,Introduction to Complex Analysis. Part 2 [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  18. I. R. Shafarevich,Principles of Algebraic Geometry, Vol. 1 [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  19. R. Remmert, “Holomorphe und meromorphe Abbildungen komplexer Raume,”Math. Ann.,33 (1957).

  20. R. Molzon, B. Shiffman, and N. Sibony, “Average growth estimates for hyperplane sections of entire analytic sets,Math. Ann.,257, No. 1, 43–59 (1981).

    Article  MATH  MathSciNet  Google Scholar 

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 38. Complex Analysis and Representation Theory-1, 1996.

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Dektyarev, I.M. Multivariable value distribution theory. Application to holomorphic curves. J Math Sci 92, 3685–3711 (1998). https://doi.org/10.1007/BF02434004

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