Additive actions on hyperquadrics of corank two

doi:10.3934/era.2022001

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	Additive actions on hyperquadrics of corank two
	Liu, Yingqi
	2022
发表期刊	ELECTRONIC RESEARCH ARCHIVE
卷号	30 期号:1 页码:1-34
摘要	For a projective variety X in P-m of dimension n, an additive action on X is an effective action of G(a)(n) on P-m such that X is G(a)(n)-invariant and the induced action on X has an open orbit. Arzhantsev and Popovskiy have classified additive actions on hyperquadrics of corank 0 or 1. In this paper, we give the classification of additive actions on hyperquadrics of corank 2 whose singularities are not fixed by the G(a)(n)-action.
关键词	commutative unipotent group action equivariant compactification hyperquadric of corank two symmetric bilinear form simultaneous orthogonal similarity
DOI	10.3934/era.2022001
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000806762600001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61512
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Yingqi
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yingqi. Additive actions on hyperquadrics of corank two[J]. ELECTRONIC RESEARCH ARCHIVE,2022,30(1):1-34.
APA	Liu, Yingqi.(2022).Additive actions on hyperquadrics of corank two.ELECTRONIC RESEARCH ARCHIVE,30(1),1-34.
MLA	Liu, Yingqi."Additive actions on hyperquadrics of corank two".ELECTRONIC RESEARCH ARCHIVE 30.1(2022):1-34.