IMAGES OF MANIFOLDS WITH SEMI-AMPLE ANTI-CANONICAL DIVISOR

doi:10.1090/jag/662

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	IMAGES OF MANIFOLDS WITH SEMI-AMPLE ANTI-CANONICAL DIVISOR
	Birkar, Caucher 1; Chen, Yifei2
	2016-04-01
发表期刊	JOURNAL OF ALGEBRAIC GEOMETRY
ISSN	1056-3911
卷号	25 期号:2 页码:273-287
摘要	We prove that if f : X -> Z is a smooth surjective morphism between projective manifolds and if -K-X is semi-ample, then -K-Z is also semiample. This was conjectured by Fujino and Gongyo. We list several counterexamples to show that this fails without the smoothness assumption on f. We prove the above result by proving some results concerning the moduli divisor of the canonical bundle formula associated to a klt-trivial fibration (X, B)-> Z.
DOI	10.1090/jag/662
语种	英语
资助项目	Leverhulme grant
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000370976100002
出版者	UNIV PRESS 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/22120
专题	数学所
通讯作者	Birkar, Caucher; Chen, Yifei
作者单位	1.Univ Cambridge, Ctr Math Sci, DPMMS, Wilberforce Rd, Cambridge CB3 0WB, England 2.Chinese Acad Sci, Inst Math, Hua Lookeng Key Lab Math, 55 Zhonguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Birkar, Caucher,Chen, Yifei. IMAGES OF MANIFOLDS WITH SEMI-AMPLE ANTI-CANONICAL DIVISOR[J]. JOURNAL OF ALGEBRAIC GEOMETRY,2016,25(2):273-287.
APA	Birkar, Caucher,&Chen, Yifei.(2016).IMAGES OF MANIFOLDS WITH SEMI-AMPLE ANTI-CANONICAL DIVISOR.JOURNAL OF ALGEBRAIC GEOMETRY,25(2),273-287.
MLA	Birkar, Caucher,et al."IMAGES OF MANIFOLDS WITH SEMI-AMPLE ANTI-CANONICAL DIVISOR".JOURNAL OF ALGEBRAIC GEOMETRY 25.2(2016):273-287.