The simple normal crossing degeneration conjecture for Moishezon morphisms

Let $\mathbb D$ denote the complex disc. Let $X$ be a smooth analytic space and let $g:X\to\mathbb D$ be a proper morphism. Assume that for $s\neq 0$ the fiber $X_s$ is Moishezon, and that $X_0$ is a simple normal crossing divisor whose irreducible components are Moishezon.

The simple normal crossing degeneration conjecture. Under these assumptions, $g$ is Moishezon.

The paper presents this as a key special case of the local Moishezon morphism problem. It is proposed as an open question for degenerations with mildly singular fibers.