立方五折和四折的自形群

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-09-27 DOI:10.1112/jlms.12997

Song Yang, Xun Yu, Zigang Zhu

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引用次数: 0

摘要

在本文中，我们引入了同次多项式的可分割性和特征集的概念，并给出了忠实作用于光滑立方五折上的群的完整分类。具体地说，我们证明了在所有这类群中存在 20 个最大群。作为应用，我们对光滑立方四折的自变群的所有可能子群进行了分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Automorphism groups of cubic fivefolds and fourfolds

In this paper, we introduce notions of partitionability and characteristic sets of homogeneous polynomials and give a complete classification of groups faithfully acting on smooth cubic fivefolds. Specifically, we prove that there exist 20 maximal ones among all such groups. As an application, we classify all possible subgroups of the automorphism groups of smooth cubic fourfolds.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.