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arxiv: 1110.0303 · v2 · pith:UDJ6HDVTnew · submitted 2011-10-03 · 🧮 math.CO · math.AC

On the conjecture of Athanasiadis related to freeness of a family of hyparplane arrangements

classification 🧮 math.CO math.AC
keywords arrangementsathanasiadisdirectionfamilyfreenessprovealreadyarrangement
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We prove a characterization of freeness, conjectured by Athanasiadis, for the family of hyperplane arrangements which lie between the Coxeter and the Catalan arrangement of type $A_\ell$. One direction was already proved in [2]. Here we prove the other direction

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