论文标题
晶体学组和Calabi-yau类型$ \ mathrm {iii} _0 $ 3倍
Crystallographic Groups and Calabi-Yau 3-folds of Type $\mathrm{III}_0$
论文作者
论文摘要
我们提供了三维Abelian品种具有孤立奇异性的Gorenstein商的精细分类，直到生物形态和同构。这是Oguiso和Sakurai的结果，内容涉及Calabi-yau的三倍的$ \ mathrm {iii} _0 $。我们的证明依赖于适用于此类商的Orbifold基本组的晶体学群体理论方法。
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.
