论文标题
Jordan属性,用于具有较大kodaira维度的复杂流形的双形形态自图
Jordan property for groups of bimeromorphic self-maps of complex manifolds with large Kodaira dimension
论文作者
论文摘要
我们证明,复杂歧管的一组双形自动形态的多形性自动形态的图像具有有限的亚组。结果,我们表明,$ n $二维复杂歧管的双形型自动形态群,其Kodaira尺寸至少为$ N-2 $,满足了Jordan的财产。
We prove that the image of the pluricanonical representation of a group of bimeromorphic automorphisms of a complex manifold has bounded finite subgroups. As a consequence, we show that the group of bimeromorphic automorphisms of an $n$-dimensional complex manifold whose Kodaira dimension is at least $n-2$, satisfies the Jordan property.