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

Wei Chen () and Nguyen Van Thin ()
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Wei Chen: Chongqing University of Posts and Telecommunications
Nguyen Van Thin: Thai Nguyen University of Education

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 3, 847-860

Abstract: 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].

Keywords: Meromorphic maps; Nevanlinna theory; p-Parabolic manifold; Projective variety; Primary; 32H30 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00095-8

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