Work

Automorphism groups of cubic fivefolds and fourfolds

Year: 2024

Type: article

Abstract: 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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.12997

Authors: Song Yang, Xun Yu, Zigang Zhu

Institution: Tianjin University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G3755498506, G3928193675, G5183114920, K3曲面及其相关问题的研究