collaborators

6 papers

math.AG2026

Remarks on Lattice Actions Corresponding to Automorphism Groups of Smooth Cubic Fourfolds

Jie Fu

The automorphism groups of smooth cubic fourfolds over the complex numbers, together with actions on defining equations, are classified in previous works. In this paper, we complet…

math.AG2026

A Sharp Bound for the Second Betti Number of Hyperkähler Sixfolds

Jie Fu, Bin Wang, Shihao Wang +1

Let be a smooth compact irreducible hyperkähler manifold of dimension six. We prove that the second Betti number satisfies . Furthermore, we show that the third…

math.AG2026

A Proof of Mongardi's Conjecture on Finite Symplectic Group Actions on Hyperkähler Manifolds of Type

Jie Fu, Shihao Wang, Zhiwei Zheng

Let a finite group act faithfully by symplectic automorphisms on a manifold of type for . We prove Mongardi's conjecture that the strict inequality $\mathrm{rk}(…

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…