Quadro-quadric special birational transformations from projective spaces to smooth complete intersections

doi:10.1142/S0129167X1650004X

CSpace

	Quadro-quadric special birational transformations from projective spaces to smooth complete intersections
	Li, Qifeng
	2016
发表期刊	INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN	0129-167X
卷号	27 期号:1 页码:22
摘要	Let phi : P-r -> Z a birational transformation with a smooth connected base locus scheme, where Z subset of Pr+c is a nondegenerate prime Fano manifold covered by lines. We call f a quadro-quadric special briational transformation if phi and phi(-1) are defined by linear subsystems of vertical bar O-Pr (2)vertical bar and vertical bar O-Z(2)vertical bar respectively. In this paper, we classify quadroquadric special birational transformations in the cases where either (i) Z is a complete intersection and the base locus scheme of phi(-1) is smooth, or (ii) Z is a hypersurface.
关键词	Birational transformations QEL-manifolds complete intersections
DOI	10.1142/S0129167X1650004X
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000369695400003
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21901
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Qifeng
作者单位	Chinese Acad Sci, AMSS, Inst Math, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Qifeng. Quadro-quadric special birational transformations from projective spaces to smooth complete intersections[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2016,27(1):22.
APA	Li, Qifeng.(2016).Quadro-quadric special birational transformations from projective spaces to smooth complete intersections.INTERNATIONAL JOURNAL OF MATHEMATICS,27(1),22.
MLA	Li, Qifeng."Quadro-quadric special birational transformations from projective spaces to smooth complete intersections".INTERNATIONAL JOURNAL OF MATHEMATICS 27.1(2016):22.