Automorphism groups of smooth cubic threefolds

Li WEI; Xun Yu

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Automorphism groups of smooth cubic threefolds

机译：平滑立方三倍的万能组

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摘要

In this paper, we classify groups which faithfully act on smooth cubic threefolds. It turns out that there are exactly 6 maximal ones and we describe them with explicit examples of target cubic threefolds.

机译：在本文中，我们对忠实行动的群体进行了分类，群体在平稳立方三倍上行动。事实证明，有6个最大值的最大值，我们描述了他们的目标立方三倍的明确示例。

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来源
《Journal of the Mathematical Society of Japan》 |2020年第4期|1327-1343|共17页
作者
Li WEI; Xun Yu;
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作者单位

Center for Applied Mathematics Tianjin University Weijin Road 92 Tianjin 300072 China;

Center for Applied Mathematics Tianjin UniversityWeijin Road 92 Tianjin 300072 China;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
automorphisms; cubic threefolds; hypersurfaces; finite groups;

机译：同时;立方三倍;过度迹象;有限群体;

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1. Automorphisms of Singular Cubic Threefolds and the Cremona Group [J] . A. A. Avilov Mathematical notes . 2016,第3a4期

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2. On Intermediate Jacobians of Cubic Threefolds Admitting an Automorphism of Order Five [J] . Bert van Geemen, Takuya Yamauchi Pure and applied mathematics quarterly . 2016,第1期

机译：在立方三倍的中间雅各比亚人承认订单的万能
3. AUTOMORPHISM GROUPS OF SMOOTH QUINTIC THREEFOLDS [J] . Oguiso Keiji, Yu Xun The Asian journal of mathematics . 2019,第2期

机译：平滑公司三倍的万能组
4. A note on Fano surfaces of nodal cubic threefolds [C] . Gerard van der Geer, Alexis Kouvidakis Conference Algebraic and Arithmetic Structures of Moduli Spaces . 2010

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5. Degeneration of Prym Varieties: A Computational Approach to the Indeterminacy Locus of the Prym Map and Degenerations of Cubic Threefolds [D] . Frinak, Josh. 2018

机译：PRYM品种退化：对PRYM图的不确定座位的计算方法和立方三倍的退化
6. The Cubic Functions for Spline Smoothed L S and M Values for BMI ReferenceData of Japanese Children [O] . Noriko Kato, Hidemi Takimoto, Noriko Sudo 2013

机译：样条曲线平滑的LS和M值的三次函数用于BMI参考日本儿童资料
7. On intermediate Jacobians of cubic threefolds admitting an automorphism of order five [O] . van Geemen, Bert, Yamauchi, Takuya 2015

机译：允许自同构的三次三重中间雅可比行列式五阶

Automorphism groups of smooth cubic threefolds

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