Global generation and very ampleness for adjoint linear series

CSpace

	Global generation and very ampleness for adjoint linear series
	Su, Xiaoyu 1; Yang, Xiaokui 2,3
	2019
发表期刊	COMMUNICATIONS IN ANALYSIS AND GEOMETRY
ISSN	1019-8385
卷号	27 期号:7 页码:1639-1663
摘要	Let X be a smooth projective variety over an algebraically closed field K with arbitrary characteristic. Suppose L is an ample and globally generated line bundle. By Castelnuovo-Mumford regularity, we show that K-X circle times L-circle times dimX circle times A is globally generated and K-X circle times L circle times(dimX+1) circle times A is very ample, provided the line bundle A is nef but not numerically trivial. On complex projective varieties, by investigating Kawamata-Viehweg-Nadel type vanishing theorems for vector bundles, we also obtain the global generation for adjoint vector bundles. In particular, for a holomorphic submersion f : X -> Y with L ample and globally generated, and A nef but not numerically trivial, we prove the global generation of f(*) (K-X/Y)(circle times s) K-Y circle times L-circle times dim Y circle times A for any positive integer s.
收录类别	SCI
语种	英语
资助项目	China's Recruitment Program of Global Experts ; NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000504922600006
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/50477
专题	中国科学院数学与系统科学研究院
通讯作者	Su, Xiaoyu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China 3.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Su, Xiaoyu,Yang, Xiaokui. Global generation and very ampleness for adjoint linear series[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY,2019,27(7):1639-1663.
APA	Su, Xiaoyu,&Yang, Xiaokui.(2019).Global generation and very ampleness for adjoint linear series.COMMUNICATIONS IN ANALYSIS AND GEOMETRY,27(7),1639-1663.
MLA	Su, Xiaoyu,et al."Global generation and very ampleness for adjoint linear series".COMMUNICATIONS IN ANALYSIS AND GEOMETRY 27.7(2019):1639-1663.