Skip to main content
Log in

On uniqueness theorems for holomorphic curves sharing hypersurfaces without counting multiplicity

  • Published:
Ukrainian Mathematical Journal Aims and scope

We prove some uniqueness theorems for algebraically nondegenerate holomorphic curves sharing hypersurfaces without counting multiplicity.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. T. T. H. An and H. T. Phuong, “An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space,” Houston J. Math., 35, No. 3, 774–786 (2009).

    Google Scholar 

  2. H. Cartan, “Sur les zéros des combinaisons linéaires de p fonctions holomorphes données,” Mathematica (Cluj), 7, 80–103 (1993).

    Google Scholar 

  3. G. Dethloff and T. V. Tan, “A uniqueness theorem for meromorphic maps with moving hypersurfaces,” Publ. Math. Debrecen, 78, 347–357 (2011).

    Article  MathSciNet  Google Scholar 

  4. M. Dulock and M. Ru, “A uniqueness theorem for holomorphic curves sharing hypersurfaces,” Compl. Var. Ellipt. Equat., 53, No. 8, 797–802 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Fujimoto, “The uniqueness problem of meromorphic maps into the complex projective space. I,” Nagoya Math. J., 58, 1–23 (1975).

    MathSciNet  MATH  Google Scholar 

  6. H. Fujimoto, “Uniqueness problem with truncated multiplicities in value distribution theory. I,” Nagoya Math. J., 152, 131–152 (1998).

    MathSciNet  MATH  Google Scholar 

  7. H. T. Phuong, “On unique sets for holomorphic maps sharing hypersurfaces without counting multiplicity,” Acta Math. Vietnam, 34, No. 3, 351–360 (2009).

    MathSciNet  MATH  Google Scholar 

  8. L. M. Smiley, “Geometric conditions for unicity of holomorphic curves,” Contemp. Math., 25, 149–154 (1983).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 556–565, April, 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phuong, H.T. On uniqueness theorems for holomorphic curves sharing hypersurfaces without counting multiplicity. Ukr Math J 63, 646–657 (2011). https://doi.org/10.1007/s11253-011-0531-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-011-0531-y

Keywords

Navigation