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

Loginov, Konstantin

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.

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