Equidimensionality conjecture for maximal-length fibre-type contractions

Let $X$ be a projective manifold of dimension $n$ admitting an elementary contraction of fibre type $\varphi\colon X\rightarrow Y$ onto a normal variety $Y$ of dimension $m$. Suppose that the contraction has length

$$l(R)=n-m+1.$$

Maximal-length equidimensionality conjecture. If $n\geq 2m-1$, then $\varphi$ is equidimensional. The paper presents this as a more general setting in which the Beltrametti–Sommese conjecture is expected to hold; the supplied text gives no proof or resolution of this formulation.