Global generation and very ampleness for adjoint linear series
文献类型：期刊论文
| 作者 | Su, Xiaoyu1; Yang, Xiaokui2,3 |
| 刊名 | COMMUNICATIONS IN ANALYSIS AND GEOMETRY
 |
| 出版日期 | 2019 |
| 卷号 | 27期号:7页码:1639-1663 |
| ISSN号 | 1019-8385 |
| 英文摘要 | 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. |
| 资助项目 | China's Recruitment Program of Global Experts ; NSFC[11688101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | INT PRESS BOSTON, INC |
| WOS记录号 | WOS:000504922600006 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50476]  |
| 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, Yau Math Sci Ctr, Beijing 100084, Peoples R China 3.Tsinghua Univ, Dept Math, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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