Tohoku Mathematical Journal
2021
June
SECOND SERIES VOL. 73, NO. 2

Tohoku Math. J.
73 (2021), 277-288

Title SOME REMARKS ON FREE ARRANGEMENTS

Author Torsten Hoge and Gerhard Röhrle

(Received March 4, 2019, revised December 16, 2019)
Abstract. We exhibit a particular free subarrangement of a certain restriction of the Weyl arrangement of type $E_7$ and use it to give an affirmative answer to a recent conjecture by T. Abe on the nature of additionally free and stair-free arrangements.

Mathematics Subject Classification. Primary 20F55; Secondary 52C35, 14N20, 32S22, 51D20, 51F15.
Key words and phrases. Hyperplane arrangements, Terao's Conjecture, inductively free arrangements, divisionally free arrangements, additionally free arrangements, stair-free arrangements.

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