Two meromorphic mappings having the same inverse images of moving hyperplanes

摘要

In this paper, we will show that if two meromorphic mappings f and g of Cm into P-n (C) have the same inverse images for (2n + 2) moving hyperplanes {a(i)}(i=1)(2n+2) with multiplicities counted to level l(0) then the map f x g must be algebraically degenerated over the field R{a(i)}(i=1)(2n+2), where l(0) = 3n(3) (n + 1)q(q - 2) with q = (