Automorphism groups of cubic fivefolds and fourfolds
Algebraic Geometry
2024-08-15 v2
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.
Cite
@article{arxiv.2308.07186,
title = {Automorphism groups of cubic fivefolds and fourfolds},
author = {Song Yang and Xun Yu and Zigang Zhu},
journal= {arXiv preprint arXiv:2308.07186},
year = {2024}
}
Comments
final form to appear in J. Lond. Math. Soc