Not all free arrangements are $K(π,1)$

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We produce a one-parameter family of hyperplane arrangements that are counterexamples to the conjecture of Saito that the complexified complement of a free arrangement is $K(π,1)$. These arrangements are the restriction of a one-parameter family of arrangements that arose in the study of tilings of certain centrally symmetric octagons. This other family is discussed as well.
5 pages

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Algebraic Topology, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/152957

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9501229
 http://arxiv.org/abs/math/9501229
 Bull. Amer. Math. Soc. (N.S.) 32 (1995) 61-65

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arXiv