Euler-symmetric projective varieties

doi:10.14231/AG-2020-011

	Euler-symmetric projective varieties
	Fu, Baohua 2,3,4; Hwang, Jun-Muk 1
刊名	ALGEBRAIC GEOMETRY
	2020-05-01
卷号	7 期号:3 页码:377-389
关键词	equivariant compactification fundamental form
ISSN号	2313-1691
DOI	10.14231/AG-2020-011
英文摘要	Euler-symmetric projective varieties are nondegenerate projective varieties admitting many C-x-actions of Euler type. They are quasi-homogeneous and uniquely determined by their fundamental forms at a general point. We show that Euler-symmetric projective varieties can be classified by symbol systems, a class of algebraic objects modeled on the systems of fundamental forms at general points of projective varieties. We study relations between the algebraic properties of symbol systems and the geometric properties of Euler-symmetric projective varieties. We also describe the relation between Euler-symmetric projective varieties of dimension n and equivariant compactifications of the vector group G(a)(n).
资助项目	National Natural Science Foundation of China[11771425] ; National Natural Science Foundation of China[11688101] ; NRF[2010-0020413]
WOS研究方向	Mathematics
语种	英语
出版者	EUROPEAN MATHEMATICAL SOC
WOS记录号	WOS:000525753000004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51109]
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, Baohua
作者单位	1.Korea Inst Adv Study, Hoegiro 85, Seoul 02455, South Korea 2.Chinese Acad Sci, AMSS, HLM, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 4.Chinese Acad Sci, MCM, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Fu, Baohua,Hwang, Jun-Muk. Euler-symmetric projective varieties[J]. ALGEBRAIC GEOMETRY,2020,7(3):377-389.
APA	Fu, Baohua,&Hwang, Jun-Muk.(2020).Euler-symmetric projective varieties.ALGEBRAIC GEOMETRY,7(3),377-389.
MLA	Fu, Baohua,et al."Euler-symmetric projective varieties".ALGEBRAIC GEOMETRY 7.3(2020):377-389.