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Euler-symmetric projective varieties
Fu, Baohua1,2,3; Hwang, Jun-Muk4
2020-05-01
发表期刊ALGEBRAIC GEOMETRY
ISSN2313-1691
卷号7期号:3页码:377-389
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).
关键词equivariant compactification fundamental form
DOI10.14231/AG-2020-011
收录类别SCI
语种英语
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
WOS类目Mathematics
WOS记录号WOS:000525753000004
出版者EUROPEAN MATHEMATICAL SOC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/51110
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.Chinese Acad Sci, AMSS, HLM, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China
2.Chinese Acad Sci, MCM, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
4.Korea Inst Adv Study, Hoegiro 85, Seoul 02455, South Korea
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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.
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