论一般类型三褶的数值琐碎自形

IF 0.6 3区 数学 Q3 MATHEMATICS Mathematical Research Letters Pub Date : 2024-07-17 DOI:10.4310/mrl.2023.v30.n6.a5
Zhi Jiang, Wenfei Liu, Hang Zhao
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引用次数: 0

摘要

$\def\AutQx{\mathrm{Aut}_\mathbb{Q}(X)}$ 在本文中,我们证明了对于满足 $q(X) \geq 3$ 或具有戈伦斯坦极小模型的一般类型的光滑投影三褶 X,数值琐碎自形的组 $\AutQx$ 是均匀有界的。如果 X 还具有最大阿尔巴尼维度,那么 $\lvert \AutQx \rvert \leq 4$,这个相等可以通过第三作者之前构建的一个无界三折叠族来实现。在此过程中,我们证明了一般类型的对数对与来自给定子集 $\mathcal{C} 的边界除数系数的诺特式不等式。\子集 (0, 1]$ 这样 $\mathcal{C}\达到最小值。
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On numerically trivial automorphisms of threefolds of general type
$\def\AutQx{\mathrm{Aut}_\mathbb{Q}(X)}$ In this paper, we prove that the group $\AutQx$ of numerically trivial automorphisms are uniformly bounded for smooth projective threefolds X of general type which either satisfy $q(X) \geq 3$ or have a Gorenstein minimal model. If X is furthermore of maximal Albanese dimension, then $\lvert \AutQx \rvert \leq 4$, and the equality can be achieved by an unbounded family of threefolds previously constructed by the third author. Along the way we prove a Noether type inequality for log canonical pairs of general type with the coefficients of the boundary divisor from a given subset $\mathcal{C} \subset (0, 1]$ such that $\mathcal{C} \cup \{1\}$ attains the minimum.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
9
审稿时长
6.0 months
期刊介绍: Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.
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