Subvarieties of small codimension in smooth projective varieties
文献类型：期刊论文
| 作者 | Li QiFeng |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:3页码:519-524 |
| 关键词 | MANIFOLDS SWEPT LINES subvarieties small codimension degree |
| ISSN号 | 1674-7283 |
| 其他题名 | Subvarieties of small codimension in smooth projective varieties |
| 英文摘要 | Let X subset of P-C(N) be an n-dimensional nondegenerate smooth projective variety containing an m-dimensional subvariety Y. Assume that either m > n/2 and X is a complete intersection or that m >= N/2. We show deg(X) vertical bar deg(Y) and codim( ) Y >= codim(PN) X, where is the linear span of Y. These bounds are sharp. As an application, we classify smooth projective n-dimensional quadratic varieties swept out by m >= n/2 + 1 dimensional quadrics passing through one point. |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5386940 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53678]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Li QiFeng. Subvarieties of small codimension in smooth projective varieties[J]. SCIENCE CHINA-MATHEMATICS,2015,58(3):519-524. |
| APA | Li QiFeng.(2015).Subvarieties of small codimension in smooth projective varieties.SCIENCE CHINA-MATHEMATICS,58(3),519-524. |
| MLA | Li QiFeng."Subvarieties of small codimension in smooth projective varieties".SCIENCE CHINA-MATHEMATICS 58.3(2015):519-524. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。