文献类型：期刊文献

英文题名：Kawaguchi-Silverman conjecture on automorphisms of projective threefolds

作者：Li, Sichen[1,2]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China;[2]East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China

年份：2024

卷号：35

期号：03

外文期刊名：INTERNATIONAL JOURNAL OF MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:001143129900001)】；

基金：I would like to thank Yohsuke Matsuzawa for constant conversations to complete the original version of this paper. I would like to thank Fei Hu, Sheng Meng and Long Wang for useful comments, and Keiji Oguiso for answering questions, and Meng Chen and De-Qi Zhang for their encouragement. Finally, I am thankful to the referee for a careful reading of the paper and the many suggestions. The research is supported by Shanghai Sailing Program (No. 23YF1409300) and Science and Technology Commission of Shanghai Municipality (No. 22dz2229014).

语种：英文

外文关键词：Kawaguchi-Silverman conjecture; weak Calabi-Yau; rationally connected; special MRC fibration

摘要：Under the framework of dynamics on normal projective varieties by Kawamata, Nakayama and Zhang, and Hu and Li, we may reduce Kawaguchi-Silverman conjecture for automorphisms f on normal projective threefolds X with either the canonical divisor KX is trivial or negative Kodaira dimension to the following two cases: (i) f is a primitively automorphism of a weak Calabi-Yau threefold, (ii) X is a rationally connected threefold. And we prove Kawaguchi-Silverman conjecture is true for automorphisms of normal projective varieties X with the irregularity q(X) >= dimX - 1. Finally, we discuss Kawaguchi-Silverman conjecture on normal projective varieties with Picard number two.