Geodesic
Truncated second main theorems and uniqueness theorems for non-Archimedean meromorphic maps
Qiming Yan1
1 School of Mathematical Sciences Tongji University 200092 Shanghai, P.R. China
Annales Polonici Mathematici, Tome 119 (2017) no. 2, pp. 165-193.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this paper, several second main theorems are given for the non-Archimedean meromorphic map $f:{\mathbb {F}}^m\rightarrow {\mathbb {P}}^n$ intersecting hyperplanes in ${\mathbb {P}}^n$ in terms of the truncated counting functions defined by W. Cherry and C. Toropu, where ${\mathbb {F}}$ is an algebraically closed field of characteristic $p\ge 0$ complete with respect to a non-Archimedean absolute value. As an application, the uniqueness problem for non-Archimedean meromorphic maps sharing hyperplanes is also discussed.
DOI : 10.4064/ap4180-3-2017
Keywords: paper several second main theorems given non archimedean meromorphic map mathbb rightarrow mathbb intersecting hyperplanes mathbb terms truncated counting functions defined cherry toropu where mathbb algebraically closed field characteristic complete respect non archimedean absolute value application uniqueness problem non archimedean meromorphic maps sharing hyperplanes discussed

Qiming Yan 1

1 School of Mathematical Sciences Tongji University 200092 Shanghai, P.R. China 
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Qiming Yan. Truncated second main theorems and uniqueness theorems for non-Archimedean meromorphic maps. Annales Polonici Mathematici, Tome 119 (2017) no. 2, pp. 165-193. doi : 10.4064/ap4180-3-2017. http://geodesic.mathdoc.fr/articles/10.4064/ap4180-3-2017/

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