On the connectivity of the realization spaces of line arrangements
classification
🧮 math.AG
math.COmath.GT
keywords
arrangementsrealizationspaceslinecertaincombinatorialcomplexconditions
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We prove that under certain combinatorial conditions, the realization spaces of line arrangements on the complex projective plane are connected. We also give several examples of arrangements with eight, nine and ten lines which have disconnected realization spaces.
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