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A general form of the Second Main Theorem for meromorphic mappings from a p-Parabolic manifold to a projective algebraic variety

Author

Listed:
  • Wei Chen

    (Chongqing University of Posts and Telecommunications)

  • Nguyen Van Thin

    (Thai Nguyen University of Education
    Thang Long University)

Abstract

Recently, Q. Han [7] proved a Second Main Theorem for algebraically nondegenerate meromorphic maps over p-Parabolic manifolds intersecting with hypersurfaces in general position in smooth projective algebraic variety, extending certain results of H. Cartan, L. Ahlfors, W. Stoll, M. Ru and Philip P. W. Wong. In this paper, we will prove a general form of Second Main Theorem for meromorphic maps from p-Parabolic manifold into smooth projective variety intersecting with hypersurfaces in subgeneral position. As an application of that result, we get a Second Main Theorem for meromorphic maps on p-Parabolic manifold intersecting with hypersurfaces in l-subgeneral position, which extends the result of Q. Han [7].

Suggested Citation

  • Wei Chen & Nguyen Van Thin, 2021. "A general form of the Second Main Theorem for meromorphic mappings from a p-Parabolic manifold to a projective algebraic variety," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(3), pages 847-860, September.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:3:d:10.1007_s13226-021-00095-8
    DOI: 10.1007/s13226-021-00095-8
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