4 problems

Let $g:\mathcal X\to\Delta$ be a flat, proper, Moishezon morphism, where $\Delta$ is the unit disc in $\mathbb C$. Assume that $X_0$ has only canonical singularities. A morphism…

Let $g:\mathcal X\to\Delta$ be a flat, proper, Moishezon morphism over the unit disc $\Delta a$ in $\mathbb C$. Assume that $X0$ has only canonical singularities. A morphism is **fib…

Let $\pi:\mathcal{X}\rightarrow Y$ be a holomorphic family of compact complex manifolds over a complex variety $Y$, let $V\subset Y$ be a proper subvariety, and write…

Let $\pi:\mathcal{X}\rightarrow\Delta$ be a holomorphic family of compact complex manifolds of dimension $n$ over an open disk $\Delta\subset\mathbb{C}$, with fibers…