论文标题
组扩展的较高维代数纤维
Higher dimensional algebraic fiberings of group extensions
论文作者
论文摘要
我们证明了存在组扩展的较高维代数纤维的某些条件。这导致了各组不一致的各种推论，以及一些$ f_n $的代数纤维的几何示例，而不是$ fp_ {n+1} $的某些组的$ fp_ {n+1} $，包括纯辫子群和多个群体的家族，这些组是基本的复杂投射品种的基本组。
We prove some conditions for the existence of higher dimensional algebraic fibering of group extensions. This leads to various corollaries on incoherence of groups and some geometric examples of algebraic fibers of type $F_n$ but not $FP_{n+1}$ of some groups including pure braid groups and families of poly-surface groups that are fundamental groups of complex projective varieties.
