Truncated second main theorem for non-Archimedean meromorphic maps

Quang Si Duc1,
1 Department of Mathematics Hanoi National University of Education

Main Article Content


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


[1] T. T. H. An A defect relation for non-Archimedean analytic curves in arbitrary projective varieties, Proc. Amer. Math. Soc. 135 (2007), 1255{ 1261.
[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