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Title: | Differentiably nondegenerate Meromorphic mappings on K\"{a}hler manifolds weakly sharing hyperplanes |
Authors: | Si Duc Quang |
Keywords: | Nondegenerate meromorphic; Inverse image for some hyperplanes; Ánh xạ; Đại số |
Issue Date: | 2024 |
Publisher: | Thang Long Journal of Science |
Series/Report no.: | Vol. 3 No. 2 (2024) Mathematics and Mathematical Sciences;101-113 |
Abstract: | In this paper, we study the uniqueness problem for differentiably nondegenerate meromorphic mappings from a K\"{a}hler manifold into $\P^n(\C)$ satisfying a condition $(C_\rho)$ and sharing hyperplanes in general position, where the condition that two meromorphic mappings $f,g$ have the same inverse image for some hyperplanes $H$ is replaced by a weaker one that $f^{-1}(H)\subset g^{-1}(H)$. An improvement on the algebraic dependence problem of differentiably nondegenerate meromorphic mappings also is given. Moreover, in this case, the condition $f^{-1}(H)\subset g^{-1}(H)$ is even omitted for some hyperplanes. |
URI: | http://thuvienso.thanglong.edu.vn//handle/TLU/13271 |
Appears in Collections | Số 2 Tập C3 - 2024 |
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