Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds

@misc{fu2026classification,
  title = {{Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds}},
  author = {Jie Fu and Shihao Wang and Zhiwei Zheng},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20403},
  eprint = {2609.20403},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20403},
}

TY  - UNPB
TI  - Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds
AU  - Jie Fu
AU  - Shihao Wang
AU  - Zhiwei Zheng
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20403
UR  - https://arxiv.org/abs/2609.20403
AB  - We classify the automorphism groups of smooth cubic threefolds and fourfolds. We also show that there are $156$ (respectively, $40$) connected families of smooth cubic fourfolds (respectively, threefolds) with specified automorphism group action. For each family, the group action and defining equations are also given. The classification combines both representation theory (based on GAP) and lattice theory (based on SageMath).
ER  -