collaborators

4 papers

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

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

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…

math.CA2026

Double integrals and transformation formulas for Appell--Lauricella hypergeometric functions

Shihao Wang, Chenglong Yu, Zhiwei Zheng

The monodromy of hypergeometric functions can govern the properties of the functions themselves. Previously, the second and third authors studied the commensurability relations amo…