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arXiv 2018-01-08 2 views

Topology and homotopy of lattice isomorphic arrangements

Guerville-Ballé, Benoît

Original · EN

We prove the existence of lattice isomorphic line arrangements having π₁-equivalent or homotopy-equivalent complements and non homeomorphic embeddings in the complex projective plane. We also provide two explicit examples, one is formed by real-complexified arrangements while the second is not.

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