Classification of low degree del Pezzo orbifolds II

Abstract: Del Pezzo orbifolds are del Pezzo surfaces equipped with a strict normal crossing divisor, called boundary, such that the log anticanonical divisor is ample. We classify del Pezzo orbifolds of degree less than 6 in terms of components of the boundary, in the sense of Campana. This completes our previous work on classification of del Pezzo orbifolds with irreducible boundaries.