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The homology groups of finite cyclic covering of line arrangement complement (2312.10939v1)
Published 18 Dec 2023 in math.AG and math.AT
Abstract: In this paper, we study the first homology group of finite cyclic covering of complex line arrangement complement. We show that this first integral homology group is torsion-free under certain condition similar to the one used by Cohen-Dimca-Orlik. In particular, this includes the case of the Milnor fiber, which generalizes the previous results obtained by Williams for complexified line arrangement to any complex line arrangement.
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