Joyce's generic local-model conjecture for codimension-one singularities

An SL fibration is a special Lagrangian fibration, and a singularity has codimension one when its image in the base has codimension one. The fibrations $F$ and $F'$ are the local models constructed in Theorems 5.1 and 5.2. Joyce's generic local-model conjecture. The SL fibrations $F$ and $F'$ are generic local models for codimension-one singularities of SL fibrations $f:M\rightarrow B$ of almost Calabi–Yau $3$-folds, with `generic' used in the sense of the paper's Definition 3.4. These models are intended to describe the codimension-one singular behaviour of generic special Lagrangian fibrations in almost Calabi–Yau threefolds; the claim is presented as a conjecture and no resolution is given here.