Topology and homotopy of lattice isomorphic arrangements
classification
🧮 math.GT
keywords
arrangementsisomorphiclatticecomplementscomplexembeddingsequivalentexamples
read the original abstract
We prove the existence of lattice isomorphic line arrangements having $\pi_1$-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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