Topology and homotopy of lattice isomorphic arrangements-Reference-Cited by-同舟云学术

Topology and homotopy of lattice isomorphic arrangements

Published:2020-01-15 Issue:5 Volume:148 Page:2193-2200
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Guerville-Ballé Benoît

Abstract

We prove the existence of lattice isomorphic line arrangements having π 1 \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.

Funder

Japan Society for the Promotion of Science

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2020-148-05/S0002-9939-2020-14878-2/proc14878_AM.pdf

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