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arXiv · 2205.05246

Higher dimensional algebraic fiberings of group extensions

Dessislava H. Kochloukova·Stefano Vidussi
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Abstract

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.

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Dessislava H. Kochloukova, Stefano Vidussi. 2022-05-11. Higher dimensional algebraic fiberings of group extensions. https://arxiv.org/abs/2205.05246

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