On Ahlfors currents

doi:10.1016/j.matpur.2021.05.007

	On Ahlfors currents
	Dinh Tuan Huynh 1,2,3; Xie, Song-Yan 2,3
刊名	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
	2021-12-01
卷号	156 页码:307-327
关键词	Nevanlinna theory Entire curves Ahlfors currents Weierstrass canonical product Jensen formula Siu's decomposition
ISSN号	0021-7824
DOI	10.1016/j.matpur.2021.05.007
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000718302900006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59616]
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.Hue Univ, Univ Educ, Dept Math, 34 Le Loi St, Hue City, Vietnam 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
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.