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arxiv: 1705.02409 · v1 · pith:7P4UFIENnew · submitted 2017-05-05 · 🧮 math.AC

Inequalities for free multi-braid arrangements

classification 🧮 math.AC
keywords freemultiplicitiesarrangementsbraidarrangementconeconjectureconstant
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We prove that, on a large cone containing the constant multiplicities, the only free multiplicities on the braid arrangement are those identified in work of Abe, Nuida, and Numata (2009). We also give a conjecture on the structure of all free multiplicities on braid arrangements.

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