A survey of finite groups of symplectic automorphisms of K3 surfaces

Kondo Shigeyuki

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A survey of finite groups of symplectic automorphisms of K3 surfaces

机译：k3曲面有限份兼素质自同一族的调查

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摘要

We give a survey of the finite symplectic automorphisms of K3 surfaces. In particular, we mention the relation between them and the Mathieu group M-24 due to Mukai. Moreover, we give its further developments and related works.

机译：我们对K3表面的有限辛自同一性进行了调查。特别是，由于Mukai，我们提到了它们与Mathieu组M-24之间的关系。此外，我们提供了进一步的发展和相关工程。

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来源
《Journal of physics, A. Mathematical and theoretical》 |2018年第5期|共17页
作者
Kondo Shigeyuki;
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作者单位

Nagoya Univ Grad Sch Math Nagoya Aichi 4648602 Japan;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
K3 surface; symplectic automorphism; Mathieu group; Niemeier lattice; Leech lattice;

机译：K3表面;辛自动形式;Mathieu集团;Niemeier格子;水蛭格子;

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专利

1. A survey of finite groups of symplectic automorphisms of K3 surfaces [J] . Kondo Shigeyuki Journal of physics, A. Mathematical and theoretical . 2018,第5期

机译：k3曲面有限份兼素质自同一族的调查
2. Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. II [J] . Nikulin V. V. Izvestiya. Mathematics . 2016,第2期

机译：具有有限辛自同构群的Kahlerian K3曲面的退化。 II
3. Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups [J] . Nikulin V. V. Izvestiya. Mathematics . 2015,第4期

机译：具有有限辛自同构群的Kahlerian K3曲面的退化
4. On derived categories of K3 surfaces, symplectic automorphisms and the Conway group [C] . Daniel Huybrechts Research Institute of Mathematical Science . 2016

机译：在K3表面，辛自同时和Conway集团的衍生类别上
5. On A Classification of the Automorphism Group of a Polarized Abelian Surface over Finite Fields [D] . Hwang, WonTae 2018

机译：有限域上极化阿贝尔曲面自同构群的分类
6. FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER [O] . John Thompson 1959

机译：具有定点无定理自序的有限群
7. Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III [O] . Nikulin, Viacheslav V. 2016

机译：具有有限辛的Kahlerian K3表面的退化自同构群。 III

A survey of finite groups of symplectic automorphisms of K3 surfaces

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