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arXiv · 2204.01414

Crystallographic Groups and Calabi-Yau 3-folds of Type $\mathrm{III}_0$

Christian Gleißner·Julia Kotonski
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Abstract

We provide a fine classification of Gorenstein quotients of three-dimensional abelian varieties with isolated singularities, up to biholomorphism and homeomorphism. This refines a result of Oguiso and Sakurai about fibred Calabi-Yau threefolds of type $\mathrm{III}_0$. Our proof relies on methods of crystallographic group theory applied to the orbifold fundamental groups of such quotients.

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Christian Gleißner, Julia Kotonski. 2022-04-04. Crystallographic Groups and Calabi-Yau 3-folds of Type $\mathrm{III}_0$. https://arxiv.org/abs/2204.01414

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