Cubic fourfolds with symplectic automorphisms
Algebraic Geometry
2026-03-03 v2
Abstract
We determine projective equations of smooth complex cubic fourfolds with symplectic automorphisms by classifying 6-dimensional projective representations of Laza and Zheng's 34 groups. In particular, we determine the number of irreducible components for moduli spaces of cubic fourfolds with symplectic actions by these groups. We also discuss the fields of definition of cubic fourfolds in six maximal cases.
Cite
@article{arxiv.2409.08448,
title = {Cubic fourfolds with symplectic automorphisms},
author = {Kenji Koike},
journal= {arXiv preprint arXiv:2409.08448},
year = {2026}
}
Comments
This rivised version was published in Journal of Algebra, and the article still contains errors. The corrigendum is included as an ancillary file