The Classification of Rigid Torus Quotients with Canonical Singularities in Dimension Three

We provide a fine classification of rigid three-dimensional torus quotients with isolated canonical singularities, up to biholomorphism and diffeomorphism. This complements the classification of Calabi-Yau 3-folds of type ${\mathrm{I}\mathrm{I}\mathrm{I}}_0$, which are those quotients with Gorenstein singularities.