Numerical invariants and moduli spaces for line arrangements
  Using several numerical invariants, we study a partition of the space of line arrangements in the complex projective plane, given by the intersection lattice types. We offer also a new characterization of the free plane curves using the Castelnuovo-Mumford regularity of the associated Milnor/Jacobian algebra. 
Alexandru Dimca, Denis Ibadula, and Daniela Anca Macinic
math.AG math.AC