Automorphism and cohomology I: Fano varieties of lines and cubics

doi:10.14231/AG-2020-001

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	Automorphism and cohomology I: Fano varieties of lines and cubics
	Pan, Xuanyu
	2020
发表期刊	ALGEBRAIC GEOMETRY
ISSN	2313-1691
卷号	7 期号:1 页码:1-29
摘要	In this paper, we show that the automorphism groups of smooth cubic threefolds or fourfolds act on their cohomology groups faithfully. We also prove that the same result holds for their Fano varieties of lines and Lefschetz cubic threefolds and fourfolds. As an application, we classify the automorphism groups of smooth cubic fourfolds with small middle Picard numbers over the complex numbers.
关键词	automorphisms infinitesimal Torelli theorems crystalline cohomology vanishing cycles lattices theory deformation theory
DOI	10.14231/AG-2020-001
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000496541000001
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/50634
专题	中国科学院数学与系统科学研究院
通讯作者	Pan, Xuanyu
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	Pan, Xuanyu. Automorphism and cohomology I: Fano varieties of lines and cubics[J]. ALGEBRAIC GEOMETRY,2020,7(1):1-29.
APA	Pan, Xuanyu.(2020).Automorphism and cohomology I: Fano varieties of lines and cubics.ALGEBRAIC GEOMETRY,7(1),1-29.
MLA	Pan, Xuanyu."Automorphism and cohomology I: Fano varieties of lines and cubics".ALGEBRAIC GEOMETRY 7.1(2020):1-29.