Totally free arrangements of hyperplanes
Abe, Takuro · Terao, Hiroaki · Yoshinaga, Masahiko
Original · EN
A central arrangement of hyperplanes in an ℓ-dimensional vector space V is said to be totally free if a multiarrangement (, m) is free for any multiplicity m: → > ₀. It has been known that is totally free whenever ℓ ≤ 2. In this article, we will prove that there does not exist any totally free arrangement other than the obvious ones, that is, a product of one-dimensional arrangements and two-dimensional ones.
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