Del Pezzo Surfaces with Du Val Singularities

نویسنده

  • DIMITRA KOSTA
چکیده

In this paper we show that del Pezzo surfaces of degree 1 with Du Val singular points of type A4, A4 + A4, A4 + A3, A4 + 2A1, A4 + A1, A3 + 4A1, A3 + 3A1, 2A3 + 2A1, A3 + 2A1, A3 + A1, 2A3, A3, admit a Kähler-Einstein metric. Moreover we are going to compute global log canonical thresholds of del Pezzo surfaces of degree 1 with Du Val singularities, and of del Pezzo surfaces of Picard group Z with Du Val singularities.

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تاریخ انتشار 2009