Two nine-line arrangements with isomorphic intersection lattices but mdr(f)=4 and mdr(g)=5 disprove the Generalized Terao Conjecture.
Yuzvinsky,The first two obstructions to the freeness of arrangements, Trans
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A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations
Two nine-line arrangements with isomorphic intersection lattices but mdr(f)=4 and mdr(g)=5 disprove the Generalized Terao Conjecture.