Author

Zhi-Wei Wang

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Preprint Oct 2026

Psh variation of singular K\"ahler-Einstein metrics and Invariance of plurigenera for smooth K\"ahler families

Let $p:X\rightarrow\Delta$ be a proper holomorphic submersion whose total space $X$ is a K\"ahler manifold. We prove that $\dim_{\mathbb C}H^0(X_t,mK_{X_t})$ is independent of $t$ for every integer $m\geq1$. This was conjectured by Y.-T. Siu in 2002.

Yin-Ji Li, Mihai Păun, Zhi-Wei Wang et al. · 0 citations

Preprint Sep 2026

Invariance of plurigenera for K\"ahler families with nef canonical bundles

Let $p:X\rightarrow\Delta$ be a proper holomorphic submersion from a K\"ahler manifold $X$. We prove that, if $K_{X_t}$ is nef for every $t\in\Delta$, then $\dim_{\mathbb C}H^0(X_t,mK_{X_t})$ is independent of $t$ for every integer $m\geq1$. This gives a partial answer to Siu's conjecture on the invariance of plurigene...

F. Deng, Jia-Fu Ning, Zhi-Wei Wang et al. · 1 citation · ⚡1