KMS Of Academy of mathematics and systems sciences, CAS
| On Ahlfors currents | |
| Dinh Tuan Huynh1,2,3; Xie, Song-Yan1,2 | |
| 2021-12-01 | |
| 发表期刊 | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
 |
| ISSN | 0021-7824 |
| 卷号 | 156页码:307-327 |
| 摘要 | We answer a basic question in Nevanlinna theory that Ahlfors currents associated to the same entire curve may be nonunique. Indeed, we will construct one exotic entire curve f: C -> X which produces infinitely many cohomologically different Ahlfors currents. Moreover, concerning Siu's decomposition, for an arbitrary k is an element of Z(+) boolean OR{infinity}, some of the obtained Ahlfors currents have singular parts supported on kirreducible curves. In addition, they can have nonzerodiffuse parts as well. Lastly, we provide new examples of diffuse Ahlfors currents on the product of two elliptic curves and on P-2(C), and we show cohomologically elaborate Ahlfors currents on blow-ups of X. (C) 2021 Elsevier Masson SAS. All rights reserved. |
| 关键词 | Nevanlinna theory Entire curves Ahlfors currents Weierstrass canonical product Jensen formula Siu's decomposition |
| DOI | 10.1016/j.matpur.2021.05.007 |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000718302900006 |
| 出版者 | ELSEVIER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/59617 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xie, Song-Yan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Hue Univ, Univ Educ, Dept Math, 34 Le Loi St, Hue City, Vietnam |
| 推荐引用方式 GB/T 7714 | Dinh Tuan Huynh,Xie, Song-Yan. On Ahlfors currents[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2021,156:307-327. |
| APA | Dinh Tuan Huynh,&Xie, Song-Yan.(2021).On Ahlfors currents.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,156,307-327. |
| MLA | Dinh Tuan Huynh,et al."On Ahlfors currents".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 156(2021):307-327. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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