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On Fundamental Theorems for Holomorphic Curves on an Annulus Intersecting Hypersurfaces

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Abstract

Recently, Phuong and Thin (Ukrain Math J 67(7), 2015) proved some fundamental theorems for holomorphic curves on the annuli with target being fixed hyperplanes. In this paper, we consider the same problems in the case of target being fixed hypersurfaces.

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References

  1. An, T.T.H., Phuong, H.T.: An explicit estimate on multiplicity truncation in the second main theorem for holomorphic curves encountering hypersurfaces in general position in projective space. Houst. J. Math. 35(3), 774–786 (2009)

    MathSciNet  MATH  Google Scholar 

  2. Corvaja, P., Zannier, U.M.: On a general Thue’s equation. Am. J. Math. 126, 1033–1055 (2004)

    Article  MathSciNet  Google Scholar 

  3. Khrystiyanyn, A.Y., Kondratyuk, A.A.: On the Nevanlinna theory for meromorphic functions on annuli I. Mat. Stud. 23, 19–30 (2005)

    MathSciNet  MATH  Google Scholar 

  4. Khrystiyanyn, A.Y., Kondratyuk, A.A.: On the Nevanlinna theory for meromorphic functions on annuli II. Mat. Stud. 24, 57–68 (2005)

    MathSciNet  MATH  Google Scholar 

  5. Lund, M.E., Ye, Z.: Logarithmic derivatives in annuli. J. Math. Anal. Appl. 356, 441–452 (2009)

    Article  MathSciNet  Google Scholar 

  6. Lund, M.E., Ye, Z.: Nevanlinna theory of meromorphic functions on annuli. Sci. China Math. 53(3), 547–554 (2010)

    Article  MathSciNet  Google Scholar 

  7. Phuong, H.T., Thin, N.V.: On fundamental theorems for curves holomorphic on annuli intersecting hyperplanes. Ukrain. Math. J. 67(7), 1111–1125 (2015)

    Article  Google Scholar 

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Correspondence to Phuong Tran Ha.

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Communicated by Gholam H. Esslamzadeh.

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Ha, P.T., Vilaisavanh, L. On Fundamental Theorems for Holomorphic Curves on an Annulus Intersecting Hypersurfaces. Bull. Iran. Math. Soc. 48, 151–163 (2022). https://doi.org/10.1007/s41980-020-00506-2

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  • DOI: https://doi.org/10.1007/s41980-020-00506-2

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