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Date Published:
10/09/2023
Online Published:
10/09/2023
Abstract Views: 158
Views PDF: 70
Views PDF: 70
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How to Cite
Si Duc, Q. (2023). Truncated second main theorem for non-Archimedean meromorphic maps. Thang Long Journal of Science: Mathematics and Mathematical Sciences, 2(8). https://science.thanglong.edu.vn/index.php/volc/article/view/93
Truncated second main theorem for non-Archimedean meromorphic maps
Main Article Content
Abstract
Let F be an algebraically closed field of characteristic p ≥ 0, which is complete with respect to a non-Archimedean absolute value. Let V be a projective subvariety of PM(F). In this paper, we will prove some second main theorems for non-Archimedean meromorphic maps of Fm into V intersecting a family of hypersurfaces in N-subgeneral position with truncated counting functions.
Article Details
Keywords
non-Archimedean, second main theorem, meromorphic mapping, Nevanlinna, hypersurface, subgeneral position
References
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[2] D. P. An, S. D. Quang Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties, Acta Math. Vietnamica 42 (2017), 455{470.
[3] W. Cherry and Z. Ye, Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem, Trans. Amer. Math. Soc. 349 (1997), 5043{5071.
[4] E. I. Nochka, On the theory of meromorphic functions, Sov. Math. Dokl. 27 (1983), 377{381.
[5] M. Ru, A note on p-adic Nevanlinna theory, Proc. Amer. Math. Soc. 129 (2001), 1263{1269.
[6] Q. Yan,Truncated second main theorems and uniqueness theorems for nonArchimedean meromorphic maps, Ann. Polon. Math. 119 (2017), 165{193