Semipositivity of generic ordinary fibration over a curve

doi:10.1007/s11425-017-9104-7

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	Semipositivity of generic ordinary fibration over a curve
	Chen, Yifei; Gu, Yi
	2018-10-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	61 期号:10 页码:1749-1758
摘要	Let f : X. B be a generic ordinary proper fibration over a complete curve in positive characteristics, we prove that the dual of higher direct image sheaf R1f similar to O X is nef. As a corollary, we show that f similar to!S=B is nef, if f : S. B is a fibration from a surface to a curve with generic ordinary fibres.
关键词	semipositivity fibrations direct image sheaf
DOI	10.1007/s11425-017-9104-7
语种	英语
资助项目	National Natural Science Foundation of China[11231003] ; National Natural Science Foundation of China[11321101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000445236300003
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31325
专题	数学所
通讯作者	Gu, Yi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yifei,Gu, Yi. Semipositivity of generic ordinary fibration over a curve[J]. SCIENCE CHINA-MATHEMATICS,2018,61(10):1749-1758.
APA	Chen, Yifei,&Gu, Yi.(2018).Semipositivity of generic ordinary fibration over a curve.SCIENCE CHINA-MATHEMATICS,61(10),1749-1758.
MLA	Chen, Yifei,et al."Semipositivity of generic ordinary fibration over a curve".SCIENCE CHINA-MATHEMATICS 61.10(2018):1749-1758.