Author

Ji-Xiang Fu

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Preprint Oct 2026

Resolutions of compact balanced spaces

Let $X$ be a compact reduced balanced complex space of pure dimension $n\geq2$. We prove that every resolution of singularities of $X$ is a balanced manifold; in particular, $X$ belongs to the class $\mathscr{B}$. This removes the additional cohomological assumptions appearing in earlier results of Fu-Meng-Xia. The mai...

Ji-Xiang Fu, Wei Xia · 0 citations

Preprint Sep 2026

Deformations of K\"{a}hler and Balanced Hyperbolicity

We study the deformation stability of K\"ahler and balanced hyperbolicity. Balanced hyperbolicity is not open in general: in every complex dimension $N\geq5$ we construct a one-parameter family with balanced hyperbolic central fibre and non-balanced nearby fibres. For positive results, we develop three complementary me...

Ji-Xiang Fu, Jing-Cao Wu · 0 citations