三维复环面的有限矩
Finite quotients of three-dimensional complex tori
摘要：
我们通过有限群在余维1中通过第一和第二orbifold Chern类上的消失条件自由地作用，给出了三维复环面的等价物的一个特征。我们还处理的情况下，行动自由的余维2，而不是使用“双理性”的第二陈类，因为我们称之为。这两个概念的陈类介绍这里的设置紧凑的复杂空间的klt奇点。在这样的一般性，这个话题还没有在文献中处理到现在。我们还讨论了我们的定义的经典Schwartz-MacPherson陈类的关系。
英文摘要：
We provide a characterization of quotients of three-dimensional complex tori by finite groups that act freely in codimension one via a vanishing condition on the first and second orbifold Chern class. We also treat the case of actions free in codimension two, using instead the "birational" second Chern class, as we call it. Both notions of Chern classes are introduced here in the setting of compact complex spaces with klt singularities. In such generality, this topic has not been treated in the literature up to now. We also discuss the relation of our definitions to the classical Schwartz-MacPherson Chern classes.
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