1 citations · 1 across the 10 of their papers we have counts for
16 papers
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…
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…
Monodromy Eigenvalues of Milnor Fibers for Line Arrangements
Baiting Xie, Chenglong Yu, Zhiwei Zheng
It is an important problem to know whether the monodromy on the cohomology of Milnor fibers associated to hyperplane arrangements is a combinatorial invariant. In this paper, we ob…
Sylow Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces
Baiting Xie, Zhiwei Zheng
In this paper, we first establish Sylow criteria for liftability of finite subgroups of the projective linear groups over arbitrary field. We also obtain Sylow criteria for -lif…
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…
Moduli spaces of sextic curves with simple singularities and their compactifications
Chenglong Yu, Zhiwei Zheng, Yiming Zhong
In this paper, we study moduli spaces of sextic curves with simple singularities. Through period maps of K3 surfaces with ADE singularities, we prove that such moduli spaces admit…