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math.AG2026
Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds
Jie Fu, Shihao Wang, Zhiwei Zheng
We classify the automorphism groups of smooth cubic threefolds and fourfolds. We also show that there are (respectively, ) connected families of smooth cubic fourfolds (r…
math.AG2026
Automorphism Groups of Smooth Cubic Fourfolds through Lattice Theory
Jie Fu, Zhiwei Zheng
Laza and the second author have classified all possible symplectic automorphism groups of smooth cubic fourfolds. There are such groups, and by Koike, there are families…
math.AG2026
Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds
Jie Fu, Shihao Wang, Zhiwei Zheng
We study the full automorphism groups of smooth cubic fourfolds with prescribed symplectic automorphism group. Our starting point is the classification of symplectic automorphism g…