Let [Formula: see text] be a projective variety of dimension [Formula: see text] over an algebraically closed field of arbitrary characteristic. We prove a Fujiki–Lieberman type theorem on the structure of the automorphism group of [Formula: see text]. Let [Formula: see text] be a group of zero entropy automorphisms of [Formula: see text] and [Formula: see text] the set of elements in [Formula: see text] which are isotopic to the identity. We show that after replacing [Formula: see text] by a suitable finite-index subgroup, [Formula: see text] is a unipotent group of the derived length at most [Formula: see text]. This result was first proved by Dinh et al. for compact Kähler manifolds.

中文翻译：

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作用于任意特征射影簇的零熵群的推导长度——对 Dinh-Oguiso-Zhang 论文的评述

令 [Formula: see text] 是任意特征的代数闭域上的射影变式 [Formula: see text]。我们证明了一个关于[公式：见正文]的自同构群结构的Fujiki-Lieberman型定理。令 [Formula: see text] 是 [Formula: see text] 和 [Formula: see text] [Formula: see text] 中的元素集合的一组零熵自同构，这些元素与恒等式是同位素的。我们证明，在用合适的有限索引子群替换 [Formula: see text] 后，[Formula: see text] 是一个至多具有导出长度的单能群 [Formula: see text]。这个结果首先由 Dinh 等人证明。用于紧凑型 Kähler 歧管。