New phenomena in the containment problem for simplicial arrangements

We consider two simplicial arrangements of lines and ideals I intersection points these lines. There are 127 in both cases the numbers ti lying on exactly i configuration (points multiplicity i) coincide. show that one examples containment I(3)⊆I2 holds, whereas it fails other. also for a subarrangement 21 The interest relation between I(3) I2 ℙ2 is motivated by question posted Hochster Huneke 2002. Configurations with I(3)⊈I2 quite rare. Our example reveals particular features: All defined over ℚ all involved. In studied now only i≥3 were considered. novelty our lies geometry element which witness noncontainment I2. previous such an was product linear forms. Now, there irreducible curve higher degree