Hyperplane arrangements of Torelli type
classification
🧮 math.AG
keywords
arrangementshyperplanetorellitypearrangementconditiondecompositionsdifferentials
read the original abstract
We give a necessary and sufficient condition in order for a hyperplane arrangement to be of Torelli type, namely that it is recovered as the set of unstable hyperplanes of its Dolgachev sheaf of logarithmic differentials. Decompositions and semistability of non-Torelli arrangements are investigated.
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