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Automorphism and cohomology II: Complete intersections

Xi Chen

https://orcid.org/0000-0001-7535-1807

632 Central Academic Building, University of Alberta, Edmonton, Alberta T6G 2G1, Canada

E-mail Address: xichen@math.ualberta.ca

Corresponding author.

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Xuanyu Pan

Institute of Mathematics, AMSS, Chinese Academy of Sciences, 55 ZhongGuanCun East Road, Beijing 100190, P. R. China

E-mail Address: pan@amss.ac.cn

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, and

Dingxin Zhang

YMSC, Tsinghua University, 30 Shuangqing Rd, Beijing 100190, P. R. China

E-mail Address: zhangdingxin03@gmail.com

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https://doi.org/10.1142/S0129167X24500289Cited by:0 (Source: Crossref)

Abstract

We prove that the automorphism group of a general complete intersection $X$ $X$ in ${ℂ ℙ}^{n}$ is trivial with a few well-understood exceptions. We also prove that the automorphism group of a complete intersection $X$ acts on the cohomology of $X$ faithfully with a few well-understood exceptions.

Communicated by Tomohide Terasoma

Keywords:

AMSC: 14J50, 14F20

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