Normal Del Pezzo Surfaces Containing a Nonrational Singularity

نویسندگان

  • STEFAN SCHRÖER
  • STEFAN SCHROEER
چکیده

Working over perfect ground fields of arbitrary characteristic, I classify minimal normal del Pezzo surfaces containing a nonrational singularity. As an application, I determine the structure of 2-dimensional anticanonical models for proper normal algebraic surfaces. The anticanonical ring may be non-finitely generated. However, the anticanonical model is either a proper surface, or a proper surface minus a point.

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تاریخ انتشار 2000