Meromorphic mappings on Kähler manifolds weakly sharing hyperplanes in $\mathbb P^n(\mathbb C)$
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910021695045632 |
|---|---|
| author | Quang, Si Duc |
| author_facet | Quang, Si Duc |
| contents | In this paper, we study the uniqueness problem for linearly nondegenerate meromorphic mappings from a Kähler manifold into $\mathbb P^n(\mathbb C)$ satisfying a condition $(C_ρ)$ 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 $f^{-1}(H)\subset g^{-1}(H)$. Moreover, we also give some improvements on the uniqueness problem and algebraic dependence problem of meromorphic mappings which share hyperplanes and satisfy $(C_ρ)$ conditions for different non-negative numbers $ρ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06268 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Meromorphic mappings on Kähler manifolds weakly sharing hyperplanes in $\mathbb P^n(\mathbb C)$ Quang, Si Duc Complex Variables In this paper, we study the uniqueness problem for linearly nondegenerate meromorphic mappings from a Kähler manifold into $\mathbb P^n(\mathbb C)$ satisfying a condition $(C_ρ)$ 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 $f^{-1}(H)\subset g^{-1}(H)$. Moreover, we also give some improvements on the uniqueness problem and algebraic dependence problem of meromorphic mappings which share hyperplanes and satisfy $(C_ρ)$ conditions for different non-negative numbers $ρ$. |
| title | Meromorphic mappings on Kähler manifolds weakly sharing hyperplanes in $\mathbb P^n(\mathbb C)$ |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2405.06268 |