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arxiv: 1707.03961 · v1 · pith:F7NQ7JRSnew · submitted 2017-07-13 · 🧮 math.AC

Free Multiplicities on the moduli of X₃

classification 🧮 math.AC
keywords modulimultiplicitiesarrangementauthorbeenbrandtderivationsdeveloped
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In this note we study the freeness of the module of derivations on all moduli of the $X_3$ arrangement with multiplicities. We use homological techniques stemming from work of Yuzvinsky, Brandt, and Terao which have recently been developed for multi-arrangements by the first author, Francisco, Mermin, and Schweig.

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