4 papers
math.CV2026
Resolutions of compact balanced spaces
Jixiang Fu, Wei Xia
Let be a compact reduced balanced complex space of pure dimension . We prove that every resolution of singularities of is a balanced manifold; in particular, be…
math.DG2026
Deformations of Kähler and Balanced Hyperbolicity
Jixiang Fu, Jingcao Wu
We study the deformation stability of Kähler and balanced hyperbolicity. We prove that Kähler hyperbolicity is open under arbitrary small holomorphic deformations, but need not be…
math.AG2024
On the birational invariance of the balanced hyperbolic manifolds
Jixiang Fu, Hongjie Wang, Jingcao Wu
In this paper, we discuss the birational invariance of the class of balanced hyperbolic manifolds.
math.AG2024
The balanced cone of the small resolution of the quintic conifold
Jixiang Fu, Hongjie Wang
In this note, we use the intersection number to determine explicitly the balanced cone of the small resolution of the quintic conifold.