| 陈玮,NGUYEN Van Thin,王琼.涉及Picard定理的移动超曲面多变量亚纯映射正规族[J].数学年刊A辑,2024,45(4):409~422 |
| 涉及Picard定理的移动超曲面多变量亚纯映射正规族 |
| Normal Family of Meromorphic Mappings of SeveralVariables with Moving HypersurfacesRelated to Picard Theorems |
| Received:November 07, 2023 Revised:December 27, 2024 |
| DOI：10.16205/j.cnki.cama.2024.0028 |
| 中文关键词: 全纯映射 正规族 正规映射 亚纯映射 |
| 英文关键词:Holomorphic mapping, Normal family, Normal mapping,
Meromorphic mapping |
| 基金项目:国家自然科学基金(No.12101099)； 中国博士后科学基金(No.2023M730387)； 重庆市自然科学基金(Nos.CSTB2022NSCQ-MSX0528,CSTB2023NSCQ-MSX0435)； 重庆市教育委员会科学技术研究项目(No.KJQN202300644)； 重庆市博士后特别资助项目(No.2022CQBSHTB2007) |
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| 中文摘要: |
| 作者证明了与Picard定理相关并涉及移动超曲面的全纯映射正规族的一些结果.另外,作者也得到一个涉及移动超曲面的亚纯映射拟正规定则.这些结果推广了前人的一些相关结论. |
| 英文摘要: |
| In this paper, the authors prove some results about normal family of holomorphic
mappings intersecting with moving hypersurfaces related to Nochka’s Picard type theorems.
They also get a quasi-normality criteria for meromorphic mappings intersecting with moving
hypersurfaces. All of the results in this paper greatly extend some earlier related results. |
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