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

Abstract

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 ${\mathrm{III}}_0$, which are those quotients with Gorenstein singularities.

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