On the containment hierarchy for simplicial ideals
  The purpose of this note is to study containment relations and asymptotic invariants for ideals of fixed codimension skeletons (simplicial ideals) determined by arrangements of $n + 1$ general hyperplanes in the $n-$dimensional projective space over an arbitrary field. 
Magdalena Lampa-Baczy\'nska and Grzegorz Malara
math.AG