Shared hyperplanes and normal families of holomorphic curves

摘要

In this paper, we continue to discuss the normality of holomorphic curves concern- ing hyperplanes shared by their derived curves and remove the restriction of the first coefficients of hyperplanes in the case P-2 (C) and get the following result: Let be a family of holomorphic maps of a domain D subset of C to P-2 (C). Let H-0 = {w(0 )= 0) and H-l = {x is an element of P-2 (C) : < x, alpha(l)> = 0} not equal H-o be hyperplanes in P-2 (C) located in general posi- tion, where alpha(l) = (alpha(l0), alpha(l1), alpha(l2))(T), l = 1,2,3,4,5. Assume the following conditions hold for every f is an element of F: