Invariance of plurigenera for Kähler families with nef canonical bundles

Fusheng Deng, Jiafu Ning, Zhiwei Wang +1

Let $p:X\to \Delta$ be a proper holomorphic submersion from a Kähler manifold $X$. We prove that, if $K_{X_t}$ is nef for every $t\in \Delta$, then ${\dim }_{\mathbb{C}}{H}^0(X_t,m{K}_{X_t})$…