The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristics

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	The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristics
	Chen, Yifei1 ; Zhang, Lei 2
	2015
发表期刊	MATHEMATICAL RESEARCH LETTERS
ISSN	1073-2780
卷号	22 期号:3 页码:675-696
摘要	Let f : X -> Z be a separable fibration of relative dimension 1 between smooth projective varieties over an algebraically closed field k of positive characteristic. We prove the subadditivity of Kodaira dimension kappa(X) >= kappa(Z) + kappa(F), where F is the generic geometric fiber of f, and kappa(F) is the Kodaira dimension of the normalization of F. Moreover, if dim X = 2 and dim Z = 1, we have a stronger inequality kappa(X) >= kappa(Z) + kappa(1)(F) where kappa(1)(F) = kappa(F,omega(o)(F)) is the Kodaira dimension of the dualizing sheaf omega(o)(F).
语种	英语
资助项目	AMSS, Chinese Academy of Sciences ; NSFC[11201454] ; NSFC[11231003] ; NSFC[11401358]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000354952700003
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19822
专题	数学所
通讯作者	Chen, Yifei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yifei,Zhang, Lei. The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristics[J]. MATHEMATICAL RESEARCH LETTERS,2015,22(3):675-696.
APA	Chen, Yifei,&Zhang, Lei.(2015).The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristics.MATHEMATICAL RESEARCH LETTERS,22(3),675-696.
MLA	Chen, Yifei,et al."The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristics".MATHEMATICAL RESEARCH LETTERS 22.3(2015):675-696.