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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

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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].

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Acknowledgements

The authors wish to express thanks to the referee and editorial board for reading the manuscript very carefully and making some valuable suggestions and comments towards the improvement of the paper. This work of both authors was partially supported by Basic and Advanced Research Project of CQCSTC (Grant number: cstc2019jcyj-msxmX0107), and Fundamental Research Funds of Chongqing University of Posts and Telecommunications (CQUPT: A2018-125). Nguyen Van Thin was also supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2017.320.

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Authors and Affiliations

  1. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, P.R. China

    Wei Chen

  2. Department of Mathematics, Thai Nguyen University of Education, Luong Ngoc Quyen Street, Thái Nguyên City, Thái Nguyên, Viet Nam

    Nguyen Van Thin

  3. Thang Long Institute of Mathematics and Applied Sciences, Thang Long University, Nghiem Xuan Yem, Hoang Mai, Hanoi, Viet Nam

    Nguyen Van Thin

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  1. Wei Chen
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  2. Nguyen Van Thin
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Correspondence to Nguyen Van Thin.

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Communicated by Kaushal Verma

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Chen, W., Thin, N.V. A general form of the Second Main Theorem for meromorphic mappings from a p-Parabolic manifold to a projective algebraic variety. Indian J Pure Appl Math 52, 847–860 (2021). https://doi.org/10.1007/s13226-021-00095-8

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  • DOI: https://doi.org/10.1007/s13226-021-00095-8

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