Normal del Pezzo surfaces containing a nonrational singularity
Working over perfect ground fields of arbitrary characteristic the author classifies minimal normal del Pezzo surfaces containing a non-rational singularity. As an application he determines the structure of 2-dimensional anticanonical models for proper normal algebraic surfaces. He shows that the anticanonical ring may be non-finitely generated, however, the anticanonical model is either a proper surface, or a proper surface minus a point.
scientific article; zbMATH DE number 1595293