The author proves that there are at most two meromorphic mappings of C^m into P^n(C)(n ≥ 2) sharing 2 n+ 2 hyperplanes in general position regardless of multiplicity,where all zeros with multiplicities more than cert...The author proves that there are at most two meromorphic mappings of C^m into P^n(C)(n ≥ 2) sharing 2 n+ 2 hyperplanes in general position regardless of multiplicity,where all zeros with multiplicities more than certain values do not need to be counted. He also shows that if three meromorphic mappings f^1, f^2, f^3 of Cminto P^n(C)(n ≥ 5) share2 n+1 hyperplanes in general position with truncated multiplicity, then the map f^1×f^2×f^3 is linearly degenerate.展开更多
基金supported by the Vietnam National Foundation for Science and Technology Development(No.101.04-2018.01)
文摘The author proves that there are at most two meromorphic mappings of C^m into P^n(C)(n ≥ 2) sharing 2 n+ 2 hyperplanes in general position regardless of multiplicity,where all zeros with multiplicities more than certain values do not need to be counted. He also shows that if three meromorphic mappings f^1, f^2, f^3 of Cminto P^n(C)(n ≥ 5) share2 n+1 hyperplanes in general position with truncated multiplicity, then the map f^1×f^2×f^3 is linearly degenerate.
