Free, not recursively free and non rigid arrangements
classification
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math.AG
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freerecursivelyrigidarrangementarrangementscharacteristicconjectureconstruct
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We construct counterexamples to Yoshinaga's conjecture that every free arrangement is either inductively free or rigid in characteristic zero. The smallest example has $13$ hyperplanes, its intersection lattice has a one dimensional moduli space, and it is free but not recursively free.
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