subvarietiesofsmallcodimensioninsmoothprojectivevarieties

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	subvarietiesofsmallcodimensioninsmoothprojectivevarieties
	Li Qifeng
	2015-01-01
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	58 期号:3 页码:519
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
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/44390
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. subvarietiesofsmallcodimensioninsmoothprojectivevarieties[J]. sciencechinamathematics,2015,58(3):519.
APA	Li Qifeng.(2015).subvarietiesofsmallcodimensioninsmoothprojectivevarieties.sciencechinamathematics,58(3),519.
MLA	Li Qifeng."subvarietiesofsmallcodimensioninsmoothprojectivevarieties".sciencechinamathematics 58.3(2015):519.