关于双epw -立方体的双民族自同构

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-05-20 DOI:10.1002/mana.12022

Simone Billi, Stevell Muller, Tomasz Wawak

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引用次数: 0

摘要

给出了具有稳定上同调作用的K3 [3] $\textnormal {K3}^{[3]}$型流形上的一元自同构有限群的分类。描述了光滑双epw立方体的极化自同构群。利用这一描述，我们展示了具有大群的简作用的最大Picard秩的K3 [3] $\textnormal {K3}^{[3]}$类型的射影hyperkähler流形的例子。

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On birational automorphisms of double EPW-cubes

We give a classification of finite groups of symplectic birational automorphisms on manifolds of $K 3^{[3]}$ -type with stable cohomological action. We describe the group of polarized automorphisms of a smooth double EPW-cube. Using this description, we exhibit examples of projective hyperkähler manifolds of $K 3^{[3]}$ –type of maximal Picard rank with a symplectic action of a large group.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index