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Abstract: We show that if the fundamental groups of the complements of two linearrangements in the complex projective plane are isomorphic to the same directsum of free groups, then the complements of the arrangements are homotopyequivalent. For any such arrangement, we construct another arrangement that iscomplexified-real, the intersection lattices of the arrangements areisomorphic, and the complements of the arrangements are diffeomorphic.



Author: Kristopher Williams

Source: https://arxiv.org/







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