论文标题
在Kodaira维度的刚性歧管上1
On Rigid Manifolds of Kodaira Dimension 1
论文作者
论文摘要
我们讨论了Kodaira维度1的刚性紧凑型复杂歧管，作为产品质品品种产生。首先，我们表明，对于$（n-1）$椭圆形曲线的产物和至少两个属的曲线，没有任何自由的僵化动作。然后，我们描述出现的群体，研究商，并证明始终有适当的奇异性解决方案来保留刚性。最后，我们对最小群体订单产生的案件进行了完整的分类。
We discuss rigid compact complex manifolds of Kodaira dimension 1, arising as product-quotient varieties. First, we show that there is no free rigid action on the product of $(n-1)$ elliptic curves and a curve of genus at least two. Then, we describe the occurring groups, study the quotients and prove that there is always a suitable resolution of singularities preserving rigidity. Finally, we give a complete classification of the cases arising for minimal group orders.
