Mathematical Research Letters

Volume 19 (2012)

Number 2

On a conjecture of Athanasiadis related to freeness of a family of hyperplane arrangements

Pages: 469 – 474



Takuro Abe (Department of Mechanical Engineering and Science, Kyoto University, Yoshida, Hon-Machi Sakyo-Ku, Kyoto 606-8501, Japan.)


We prove a characterizationof freeness, conjectured by Athanasiadis, for the family ofhyperplane arrangements, which lie between the Coxeter and theCatalan arrangement of the type $A_\ell$. One direction was alreadyproved in \cite{ANN}. Here we prove the other direction.

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