Not all free arrangements are K(π,1)
classification
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arrangementsfamilyfreeone-parameterarosearrangementcentrallycertain
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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 $K(\pi,1)$. 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.
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