Free but not recursively free arrangements

Abstract

We construct counterexamples to the conjecture that every free arrangement is recursively free in characteristic zero. The intersection lattice of our smallest example has a realization over a finite field which is recursively free, thus recursive freeness is not a combinatorial property of the intersection lattice of an arrangement.

7 pages

Cited by in corpus (2)

• Non-recursive freeness and non-rigidity of plane arrangements
• The smallest line arrangement which is free but not recursively free