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.
Topology and homotopy of lattice isomorphic arrangements / Guerville-Ballé, Benoît. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 148:5(2020), pp. 2193-2200. [10.1090/proc/14878]
Topology and homotopy of lattice isomorphic arrangements
Guerville-Ballé, Benoît
2020-01-01
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.File in questo prodotto:
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