Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:465

Article

Si Duc Quang¹ 

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

关键词: Second main theorem;    Meromorphic mapping;    Moving hypersurface;    Truncated multiplicity;   

DOI  :  10.1016/j.jmaa.2018.05.027

来源: Elsevier

【 摘 要 】

Let Q(1),...,Q(q) be q slowly moving hypersurfaces in P-n (C) of degree d(i) which are located in N-subgeneral position. Let f be a meromorphic mapping from C-m into P-n(C) which is algebraically nondegenerate over the field generated by Q(i) 's. In this paper, we will prove that, for every epsilon > 0, there exists a positive integer M such that parallel to (q - (N - n + 1) (n + 1) - is an element of)T-f (r) <= Sigma(q)(i=1) 1/d(i) N-[M] (r, f*Q(i)) + o(T-f(r)). Moreover, an explicit estimate for M is given. Our result is an extension of the previous second main theorems for meromorphic mappings and moving hypersurfaces. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free