Abstract
Let Q1,...,Qq be q slowly moving hypersurfaces in Pn(C) of degree di which are located in N-subgeneral position. Let f be a meromorphic mapping from Cm into Pn(C) which is algebraically nondegenerate over the field generated by Qi's. In this paper, we will prove that, for every ϵ>0, there exists a positive integer M such that||(q−(N−n+1)(n+1)−ϵ)Tf(r)≤∑i=1q1diN[M](r,f⁎Qi)+o(Tf(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.
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